18th Edition

ISBN: 9781938168277

Author: William Moebs, Samuel J. Ling, Jeff Sanny

Publisher: OpenStax - Rice University

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Textbook Question

Chapter 10, Problem 91P

Suppose when Earth was created, it was not rotating. However, after the application of a uniform torque after 6 days, it was rotating at 1 rev/day. (a) What was the angular acceleration during the 6 days? (b) What torque was applied to Earth during this period? (c) What force tangent to Earth at its equator would produce this torque?

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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Chapter 10, Problem 90P

Chapter 10, Problem 92P

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Chapter 10 Solutions

University Physics Volume 1

Ch. 10 - A baseball bat is swung. Do all points on the bat...Ch. 10 - The blades of a blender on a counter are rotating...Ch. 10 - If a rigid body has a constant angular...Ch. 10 - If a rigid body has a constant angular...Ch. 10 - If the angular acceleration of a rigid body is...Ch. 10 - A massless tether with a masses tied to both ends...Ch. 10 - Explain why centripetal acceleration changes the...Ch. 10 - In circular motion, a tangential acceleration can...Ch. 10 - Suppose a piece of food is on the edge of a...Ch. 10 - What if another planet the same size as Earth were...Ch. 10 - A solid sphere is rotating about an axis through...Ch. 10 - If a child walks toward the center of a...Ch. 10 - A discus thrower rotates with a discus in his hand...Ch. 10 - Does increasing the number of blades on a...Ch. 10 - The moment of inertia of a long rod spun around an...Ch. 10 - Why is the moment of inertia of a hoop that has a...Ch. 10 - What three factors affect the torque created by a...Ch. 10 - Give an example in which a small force exerts a...Ch. 10 - When reducing the mass of a racing bike, the...Ch. 10 - Can a single force produce a zero torque?Ch. 10 - Can a set of forces have a net torque that is zero...Ch. 10 - Can a set of forces have a net force that is zero...Ch. 10 - Prob. 25CQ Ch. 10 - If you were to stop a spinning wheel with a...Ch. 10 - Prob. 27CQ Ch. 10 - Calculate the angular velocity of Earth.Ch. 10 - A track star runs a 400-m race on a 400-m circular...Ch. 10 - A wheel rotates at a constant rate of...Ch. 10 - A particle moves 3.0 m along a circle of radius...Ch. 10 - A compact disc rotates at 500 rev/min. If the...Ch. 10 - Unreasonable results. The propeller of an aircraft...Ch. 10 - A gyroscope slows from an initial rate of 32.0...Ch. 10 - On takeoff, the propellers on a UAV (unmanned...Ch. 10 - The angular position of a rod varies as...Ch. 10 - A wheel has a constant angular acceleration of...Ch. 10 - During a 6.0-s time interval, a fly-wheel with a...Ch. 10 - The angular velocity of a rotating rigid body...Ch. 10 - A flywheel slows from 600 to 400 rev/min while...Ch. 10 - A wheel 1.0 m in diameter rotates with an angular...Ch. 10 - A vertical wheel with a diameter of 50 cm starts...Ch. 10 - A circular disk of radius 10 cm has a contant...Ch. 10 - The angular velocity vs. time for a fan on a...Ch. 10 - A rod of length 20 cm has two beads attached to...Ch. 10 - At its peak, a tornado is 60.0 m in diameter and...Ch. 10 - A man stands on a merry-go-round that is rotating...Ch. 10 - An ultracentrifuge accelerates from to 100,000 rpm...Ch. 10 - A wind turbine is rotating conterclockwise at 0.5...Ch. 10 - What is (a) the angular speed and (b) the linear...Ch. 10 - A child with mass 40 kg sits on the edge of a...Ch. 10 - A bicycle wheel with radius 0.3 m rotates from...Ch. 10 - The angular velocity of a flywheel with radius 1.0...Ch. 10 - A system of point particles is shown in the...Ch. 10 - (a) Calculate the rotational kinetic energy of...Ch. 10 - Calculate the rotational kinetic energy of a 12-kg...Ch. 10 - A baseball pitcher throws the ball in a motion...Ch. 10 - A diver goes into a somersault during a dive by...Ch. 10 - An aircraft is coming in for a landing at 300...Ch. 10 - If air resistance is present in the preceding...Ch. 10 - A neutron star of mass 21030kg and radius 10 km...Ch. 10 - An electric sander consisting of a rotating disk...Ch. 10 - A system consists of a disk of mass 2.0 kg and...Ch. 10 - While punting a football, a kicker rotates his leg...Ch. 10 - Using the parallel axis theorem, what is the...Ch. 10 - Find the moment of inertia of the rod in the...Ch. 10 - A uniform rod of mass 1.0 kg and length 2.0 m is...Ch. 10 - A pendulum consists of a rod of mass 2 kg and...Ch. 10 - A solid sphere of radius 10 cm is allowed to...Ch. 10 - Calculate the moment of inertia by direct...Ch. 10 - Two flywheel fo negligible mass and different...Ch. 10 - The cylindrical head bolts on a car are to be...Ch. 10 - (a) When opening a door, you push on it...Ch. 10 - When tightening a bolt, you push perpendicularly...Ch. 10 - What hanging mass must be placed on the cord to...Ch. 10 - A simple pendulum consists of a massless tether 50...Ch. 10 - Calculate the torque about the z-axis that is out...Ch. 10 - A seesaw has length 10.0 m and uniform mass 10.0...Ch. 10 - A pendulum consists ofa rod of mass 1 kg and...Ch. 10 - A torque of 5.00103Nm is required to raise a...Ch. 10 - A horizontal beam of length 3 m and mass 2.0 kg...Ch. 10 - What force must be applied to end of a rod along...Ch. 10 - What is the torque abot the origin of the force if...Ch. 10 - You have a grindstone (a disk) that is 90.0 kg,...Ch. 10 - Suppose you exert a force of 180 N tangential to a...Ch. 10 - A flywheel (l=50kgm2) starting from rest acquires...Ch. 10 - A constant torque is applied to a rigid body whose...Ch. 10 - A torque of 50.0Nm is applied to a grinding wheel...Ch. 10 - A flywheel (I=100.0kgm2) rotating at 500.0 rev/min...Ch. 10 - A uniform cylindrical grinding wheel of mass 50.0...Ch. 10 - Suppose when Earth was created, it was not...Ch. 10 - A pulley of moment of inertia 2.0kgm2 is mounted...Ch. 10 - A block of mass 3 kg slides down an inclined plane...Ch. 10 - The cart shown below moves across the table top as...Ch. 10 - A uniform rod of mass and length is held...Ch. 10 - A thin stick of mass 0.2 kg and length L=0.5m is...Ch. 10 - A wind turbine rotates at 20 rev/min. If its power...Ch. 10 - A clay cylinder of radius 20 cm on a potter’s...Ch. 10 - A uniform cylindrical grindstion has a mass of 10...Ch. 10 - A uniform disk of mass 500 kg and radius 0.25 m is...Ch. 10 - A propeller is accelerated from rest to an angular...Ch. 10 - A sphere of mass 1.0 kg and radius 0.5 m is...Ch. 10 - A uniform rod of length L and mass M is held...Ch. 10 - An athlete in a gym applies a constant force of 50...Ch. 10 - A 2-kg block on a frictionless inclined plane at...Ch. 10 - Small bodies of mass m1 and m2 are attached to...Ch. 10 - A cyclist is riding such that the wheels of the...Ch. 10 - Calculate the angular velocity of the orbital...Ch. 10 - A phonograph turntable rotating at 331/3rev/min...Ch. 10 - With the aid of a string, a gyroscope is...Ch. 10 - Suppose a piece of dust has fallen on a CD. If the...Ch. 10 - A system of point particles is rotating about a...Ch. 10 - Calculate the moment of inertia of a skater given...Ch. 10 - A stick of length 1.0 m and mass 6.0 kg is free to...Ch. 10 - A pendulum consists of a rod of length 2 m and...Ch. 10 - Calculate the torque of the 40-N force around the...Ch. 10 - Two children push on opposite sides of a door...Ch. 10 - Prob. 118AP Ch. 10 - An automobile engine can produce 200Nm of torque....Ch. 10 - A grindstone with a mass of 50 kg and radius 0.8 m...Ch. 10 - The angular acceleration of a rotating rigid body...Ch. 10 - Earth’s day has increased by 0.002 s in the last...Ch. 10 - A disk of mass m , radius R , and area A has a...Ch. 10 - Zorch, an archenemy of Rotation Man, decides to...Ch. 10 - A cord is wrapped around the rim of a solid...

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