Solutions for University Physics Volume 1
Problem 10.1CYU:
Check Your Understanding The fan blades on a turbofan jet engine (shown below) accelerate from rest...Problem 10.2CYU:
Check Your Understanding A centrifuge used in DNA extraction spins at a maximum rate of 7000 rpm,...Problem 10.3CYU:
Check Your Understanding A boy jumps on a merry-go-round with a radius of 5 m that is at rest. It...Problem 10.4CYU:
Check Your Understanding A nuclear submarine propeller has a moment of inertia of 800.0kgm2 . If the...Problem 10.5CYU:
Check Your Understanding What is the moment of inertia of a cylinder of radius R and mass m about an...Problem 10.6CYU:
Check Your Understanding A large ocean-going ship runs aground near the coastline, similar to the...Problem 10.7CYU:
Check Your Understanding The fan blades on a jet engine have a moment of inertia 30.0kgm2 . In 10s,...Problem 10.8CYU:
Check Your Understanding A constant torque of 500kNm is applied to a wind turbine to keep it...Problem 1CQ:
A clock is mounted on the wall. As you look at it, what is the direction of the angular velocity...Problem 2CQ:
What is the value of the angular acceleration of the second hand of the clock on the wall?Problem 3CQ:
A baseball bat is swung. Do all points on the bat have the same angular velocity? The same...Problem 4CQ:
The blades of a blender on a counter are rotating clockwise as you look into it from the top. If the...Problem 5CQ:
If a rigid body has a constant angular acceleration, what is the functional form of the angular...Problem 6CQ:
If a rigid body has a constant angular acceleration, what is the functional form of the angular...Problem 7CQ:
If the angular acceleration of a rigid body is zero, what is the functional form of the angular...Problem 8CQ:
A massless tether with a masses tied to both ends rotates about a fixed axis through the center. Can...Problem 9CQ:
Explain why centripetal acceleration changes the direction of velocity in circular motion but not...Problem 10CQ:
In circular motion, a tangential acceleration can change the magnitude of the velocity but not its...Problem 11CQ:
Suppose a piece of food is on the edge of a rotating microwave oven plate. Does it experience...Problem 12CQ:
What if another planet the same size as Earth were put into orbit around the Sun along with Earth....Problem 13CQ:
A solid sphere is rotating about an axis through its center at a constant rotation rate. Another...Problem 14CQ:
If a child walks toward the center of a merry-go-round, does the moment of inertia increase or...Problem 15CQ:
A discus thrower rotates with a discus in his hand before letting it go. (a) How does his moment of...Problem 16CQ:
Does increasing the number of blades on a propeller increase or decrease its moment of inertia, and...Problem 17CQ:
The moment of inertia of a long rod spun around an axis through one end perpendicular to its length...Problem 18CQ:
Why is the moment of inertia of a hoop that has a mass M and a radius R greater than the moment of...Problem 19CQ:
What three factors affect the torque created by a force relative to a specific pivot point?Problem 20CQ:
Give an example in which a small force exerts a large torque. Give another example in which a large...Problem 21CQ:
When reducing the mass of a racing bike, the greatest benefit is realized from reducing the mass of...Problem 22CQ:
Can a single force produce a zero torque?Problem 26CQ:
If you were to stop a spinning wheel with a constant force, where on the wheel would you apply the...Problem 28P:
Calculate the angular velocity of Earth.Problem 29P:
A track star runs a 400-m race on a 400-m circular track in 45 s. What is his angular velocity...Problem 30P:
A wheel rotates at a constant rate of 2.0103rev/min . (a) What is its angular velocity in radians...Problem 31P:
A particle moves 3.0 m along a circle of radius 1.5 m. (a) Through what angle does it rotate? (b) If...Problem 32P:
A compact disc rotates at 500 rev/min. If the diameter of the disc is 120 mm, (a) what is the...Problem 33P:
Unreasonable results. The propeller of an aircraft is spinning at 10 rev/s when the pilot shuts off...Problem 34P:
A gyroscope slows from an initial rate of 32.0 rad/s at a rate of 0.700rad/s2 . How long does it...Problem 35P:
On takeoff, the propellers on a UAV (unmanned aerial vehicle) increase their angular velocity form...Problem 36P:
The angular position of a rod varies as 20.0t2radians from time t=0 . The rod has two beads on it as...Problem 37P:
A wheel has a constant angular acceleration of 5.0rad/s2 . Starting from rest, it turns through 300...Problem 38P:
During a 6.0-s time interval, a fly-wheel with a constant angular acceleration turns through 500...Problem 39P:
The angular velocity of a rotating rigid body increases from 500 to 1500 rev/min in 120 s. (a) What...Problem 40P:
A flywheel slows from 600 to 400 rev/min while rotating through 40 revolutions. (a) What is the...Problem 41P:
A wheel 1.0 m in diameter rotates with an angular acceleration of 4.0rad/s2 . (a) If the wheel’s...Problem 42P:
A vertical wheel with a diameter of 50 cm starts from rest and rotates with a constant angular...Problem 43P:
A circular disk of radius 10 cm has a contant angular acceleration of 1.0rad/s2 ; at t=0 its angular...Problem 44P:
The angular velocity vs. time for a fan on a hovercraft is shown below. (a) What is the angle...Problem 45P:
A rod of length 20 cm has two beads attached to its ends. The rod with beads starts rotating from...Problem 46P:
At its peak, a tornado is 60.0 m in diameter and carries 500 km/h winds. What is its angular...Problem 47P:
A man stands on a merry-go-round that is rotating at 2.5 rad/s. If the coefficient of static...Problem 48P:
An ultracentrifuge accelerates from to 100,000 rpm in 2.00 min. (a) What is the average angular...Problem 49P:
A wind turbine is rotating conterclockwise at 0.5 rev/s and slows to a stop in 10 s. Its blades are...Problem 50P:
What is (a) the angular speed and (b) the linear speed of a point on Earth’s surface at latitude 30N...Problem 51P:
A child with mass 40 kg sits on the edge of a merry-go-round at a distance of 3.0 m from its axis of...Problem 52P:
A bicycle wheel with radius 0.3 m rotates from rest to 3 rev/s in 5 s. What is the magnitude and...Problem 53P:
The angular velocity of a flywheel with radius 1.0 m varies according to (t)=2.0t . Plot ac(t) and...Problem 54P:
A system of point particles is shown in the following figure. Each particle has mass 0.3 kg and they...Problem 55P:
(a) Calculate the rotational kinetic energy of Earth on its axis. (b) What is the rotational kinetic...Problem 56P:
Calculate the rotational kinetic energy of a 12-kg motorcycle wheel if its angular velocity is 120...Problem 57P:
A baseball pitcher throws the ball in a motion where there is rotation of the forearm about the...Problem 58P:
A diver goes into a somersault during a dive by tucking her limbs. If her rotational kindetic energy...Problem 59P:
An aircraft is coming in for a landing at 300 meters height when the propeller falls off. The...Problem 60P:
If air resistance is present in the preceding problem and reduces the propeller’s rotational kinetic...Problem 61P:
A neutron star of mass 21030kg and radius 10 km rotates with a period of 0.02 seconds. What is its...Problem 62P:
An electric sander consisting of a rotating disk of mass 0.7 kg and radius 10 cm rotates at 15...Problem 63P:
A system consists of a disk of mass 2.0 kg and radius 50 cm upon which is mounted an annular...Problem 64P:
While punting a football, a kicker rotates his leg about the hip joint. The moment of inertia of the...Problem 65P:
Using the parallel axis theorem, what is the moment of inertia of the rod of mass m about the axis...Problem 67P:
A uniform rod of mass 1.0 kg and length 2.0 m is free to rotate about one end (see the following...Problem 68P:
A pendulum consists of a rod of mass 2 kg and length 1 m with a solid sphere at one end with mass...Problem 69P:
A solid sphere of radius 10 cm is allowed to rotate freely about an axis. The sphere is given a...Problem 70P:
Calculate the moment of inertia by direct integration of a thin rod of mass M and length L about an...Problem 71P:
Two flywheel fo negligible mass and different radii are bounded together and rotate about common...Problem 72P:
The cylindrical head bolts on a car are to be tightened with a torque of 62.0Nm . If a mechanic uses...Problem 73P:
(a) When opening a door, you push on it perpendicularly with a force of 55.0 N at a distance of...Problem 74P:
When tightening a bolt, you push perpendicularly on a wrench with a force of 165 N at a distance of...Problem 75P:
What hanging mass must be placed on the cord to keep the pulley from rotating (see the following...Problem 76P:
A simple pendulum consists of a massless tether 50 cm in length connected to a pivot and a small...Problem 77P:
Calculate the torque about the z-axis that is out of the page at the origin in the following figure,...Problem 78P:
A seesaw has length 10.0 m and uniform mass 10.0 kg and is resting at an angle of 30 with respect to...Problem 79P:
A pendulum consists ofa rod of mass 1 kg and length 1 m connected to a pivot with a solid sphere...Problem 80P:
A torque of 5.00103Nm is required to raise a drawbridge (see the following figure). What is the...Problem 81P:
A horizontal beam of length 3 m and mass 2.0 kg has a mass of 1.0 kg and width 0.2 m sitting at the...Problem 82P:
What force must be applied to end of a rod along the x-axis of length 2.0 m in order to produce a...Problem 83P:
What is the torque abot the origin of the force if it is applied at the point whose position is:Problem 84P:
You have a grindstone (a disk) that is 90.0 kg, has a 0.340-m radius, and is turning at 90.0 rpm,...Problem 85P:
Suppose you exert a force of 180 N tangential to a 0.280-m-radius, 75.0-kg grindstone (a solid...Problem 86P:
A flywheel (l=50kgm2) starting from rest acquires an angular velocity of 200.0 rad/s while subject...Problem 87P:
A constant torque is applied to a rigid body whose moment of inertia is 4.0kgm2 around the axis of...Problem 88P:
A torque of 50.0Nm is applied to a grinding wheel (l=20.0kgm2) for 20 s. (a) If it starts from rest,...Problem 89P:
A flywheel (I=100.0kgm2) rotating at 500.0 rev/min is brought to rest by friction in 2.0 min. What...Problem 90P:
A uniform cylindrical grinding wheel of mass 50.0 kg and diameter 1.0 m is turned on by an electric...Problem 91P:
Suppose when Earth was created, it was not rotating. However, after the application of a uniform...Problem 92P:
A pulley of moment of inertia 2.0kgm2 is mounted on a wall as shown in the following figure. Light...Problem 93P:
A block of mass 3 kg slides down an inclined plane at an angle of 45 with a massless tether attached...Problem 94P:
The cart shown below moves across the table top as the block falls. What is the acceleration of the...Problem 95P:
A uniform rod of mass and length is held vertically by two strings of negligible mass, as shown...Problem 96P:
A thin stick of mass 0.2 kg and length L=0.5m is attached to the rim of a metal disk of mass M=2.0kg...Problem 97P:
A wind turbine rotates at 20 rev/min. If its power output is 2.0 MW, what is the torque produced on...Problem 98P:
A clay cylinder of radius 20 cm on a potter’s wheel spins at a constant rate of 10 rev/s. The potter...Problem 99P:
A uniform cylindrical grindstion has a mass of 10 kg and a radius of 12 cm. (a) What is the...Problem 100P:
A uniform disk of mass 500 kg and radius 0.25 m is mounted on frictionless bearings so it can rotate...Problem 101P:
A propeller is accelerated from rest to an angular velocity of 1000 rev/min over a period of 6.0...Problem 102P:
A sphere of mass 1.0 kg and radius 0.5 m is attached to the end of a massless rod of length 3.0 m....Problem 103P:
A uniform rod of length L and mass M is held vertically with one end resting on the floor as shown...Problem 104P:
An athlete in a gym applies a constant force of 50 N to the pedals of a bicycle to keep the rotation...Problem 105P:
A 2-kg block on a frictionless inclined plane at 45 has a cord attached to a pulley of mass 1 kg and...Problem 106P:
Small bodies of mass m1 and m2 are attached to opposite ends of a thin rigid rod of length L and M....Problem 107AP:
A cyclist is riding such that the wheels of the bicycle have a rotation rate of 3.0 rev/s. If the...Problem 109AP:
A phonograph turntable rotating at 331/3rev/min slows down and stops in 1.0 min. (a) What is the...Problem 110AP:
With the aid of a string, a gyroscope is accelerated from rest to 32 rad/s in 0.40 s under a...Problem 111AP:
Suppose a piece of dust has fallen on a CD. If the spin rate of the CD is 500 rpm, and the piece of...Problem 112AP:
A system of point particles is rotating about a fixed axis at 4 rev/s. The particles are fixed with...Problem 113AP:
Calculate the moment of inertia of a skater given the following information. (a) The 60.0-kg skater...Problem 114AP:
A stick of length 1.0 m and mass 6.0 kg is free to rotate about a horizontal axis through the...Problem 115AP:
A pendulum consists of a rod of length 2 m and mass 3 kg with a solid sphere of mass 1 kg and radius...Problem 116AP:
Calculate the torque of the 40-N force around the axis through O and perpendicular to the plane of...Problem 117AP:
Two children push on opposite sides of a door during play. Both push horizontally and perpendicular...Problem 119AP:
An automobile engine can produce 200Nm of torque. Calculate the angular acceleration produced if...Problem 120AP:
A grindstone with a mass of 50 kg and radius 0.8 m maintains a constant rotation rate of 4.0 rev/s...Problem 121CP:
The angular acceleration of a rotating rigid body is given by =(2.0-3.0t)rad/s2 . If the body starts...Problem 122CP:
Earth’s day has increased by 0.002 s in the last century. If this increase in Earth’s period is...Problem 123CP:
A disk of mass m , radius R , and area A has a surface mass density =mrAR (see the following...Browse All Chapters of This Textbook
Chapter 1 - Units And MeasurementChapter 2 - VectorsChapter 3 - Motion Along A Straight LineChapter 4 - Motion In Two And Three DimensionsChapter 5 - Newton's Law Of MotionChapter 6 - Applications Of Newton's LawsChapter 7 - Work And Kinetic EnergyChapter 8 - Potential Energy And Conservation Of EnergyChapter 9 - Linear Momentum And CollisionsChapter 10 - Fixed-axis Rotation
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