The flywheel of a steam engine runs with a constant angular velocity of 132 rev/min. When steam is shut off, the friction of the bearings and of the air stops the wheel in 1.40 h. (a) What is the constant angular acceleration, in revolutions per minute-squared, of the wheel during the slowdown? (b) How many revolutions does the wheel make before stopping? (c) At the instant the flywheel is turning at 66.0 rev/min, what is the tangential component of the linear acceleration of a flywheel particle that is 42.7 cm from the axis of rotation? (d) What is the magnitude of the net linear acceleration of the particle in (c)?

The flywheel of a steam engine runs with a constant angular velocity of 132 rev/min. When steam is shut off, the friction of the bearings and of the air stops the wheel in 1.40 h. (a) What is the constant angular acceleration, in revolutions per minute-squared, of the wheel during the slowdown? (b) How many revolutions does the wheel make before stopping? (c) At the instant the flywheel is turning at 66.0 rev/min, what is the tangential component of the linear acceleration of a flywheel particle that is 42.7 cm from the axis of rotation? (d) What is the magnitude of the net linear acceleration of the particle in (c)?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A disk is initially spinning at +3600 rpm. It increased its angular velocity to +7200 rpm in 9 sec.…

A: Given values: Initial angular velocity, ω1=3600 rpm Final angular velocity, ω2=7200 rpm Time, t=9 s

Q: flywheel

Q: A flywheel is 15 cm in diameter accelerates uniformly from rest to 500 rpm in 20 seconds. What is…

Q: A centrifuge in a medical laboratory rotates at an angular speed of 3,800 rev/min. When switched…

A: The initial angular speed of the centrifuge is ω0 = 3,800 rev/min. The angular displacement of the…

Q: n 2010, the Sikorsky's X2 helicopter became the world's fastest helicopter, flying at 249 miles per…

Q: A fan is spinning with an angular velocity of 3500 revolutions per minute (rpm). When turned off,…

A: From kinematics, the expression for the final angular velocity is:

Q: disk spins at a rate of 6000 radians every 10 minutes. (a) What is the angular velocity of the disk…

A: Given Angular displacement = 6000 radians Time taken = 10 min = 10×60 sec = 600 sec

Q: A fan rotating with an initial angular velocity of 898 rev/min is switched off. In 3.4 seconds, the…

Q: A car initially traveling at 29.7 m/s undergoes a constant negative acceleration of magnitude 2.00…

A: Given data The initial velocity of the car is u = 29.7 m/s. The negative acceleration of the car is…

Q: (a) Convert 41.0° to radians, using the appropriate conversion ratio. rad (b) Convert 2.46 rad to…

A: Given Data, Degree=41.00 Radian=2.46 Rad radius of the circle (r)=1.60 m Subtended Angle (θ)=41.00

Q: A disc has a speed of 1300 rpm and it is made to slow down at a uniform rate of 3 rad/s2.Calculate…

A: We use the equation of angular motion that is similar to the equations of linear motion.…

Q: The flywheel of a steam engine runs with a constant angular velocity of 140 rev/min. When steam is…

A: Angular acceleration , α = -1.67 rev/min2 Distance of the particle from the axis , r = 27 cm = 0.27…

Q: Express the angular speed of 40 degrees per second in (a) rev/s, (b) rpm, (c) rad/s.

A: (given) Angular speed = 40 °/s (a) 1°/s = 0.00277777 rev/s Angular speed of 40 °/s…

Q: A disk is initially spinning at 14 radians per second, and comes to a stop in 22 seconds under…

Q: A centrifuge is a common laboratory instrument that separates components of differing densities in…

A: Given data The time taken by the centrifuge is given as t = 11 s. The initial angular speed of the…

Q: A ceiling fan has 17-inch blades (so the radius of the circular fan is 17 inches). Suppose the…

A: The radius of circular fan, r = 17 inches. The linear speed of tip of a blade, v = 9 feet per…

Q: The motion of an oscillating flywheel is defined by the relation 0 = 0,e 31 that 0, = 0.5 rad,…

Q: After fixing a flat tire on a bicycle you give the wheel a spin. Its initial angular speed was 5.50…

Q: A merry go round is accelerated at a constant rate of 0.005 rev/s?, starting from rest. (a) What is…

Q: The angular speed of a rotor in a centrifuge increases from 439 to 1430 rad/s in a time of 6.34…

Q: An electric fan makes 300 revolutions per minute. If it comes to a stop after 12 secs, what is the…

A: Given: The initial angular speed is 0 rad/s. The final angular speed is 300 revs/s. The time…

Q: A high-speed turntable is spinning initially at 600 rpm when a power failure occurs. The power is…

A: We are given the initial angular velocity of table. We are given the time when the power is off. We…

Q: The flywheel of a steam engine runs with a constant angular velocity of 240 rev/min. When steam is…

A: The initial angular velocity of object is Time taken by object to come to stop is The object finally…

Q: The flywheel of a steam engine runs with a constant angular velocity of 186 rev/min. When steam is…

Q: Most gasoline engines in today's automobiles are belt driven. This means that the crankshaft, a rod…

Q: A disk (mass = 4.06 kg and radius 0.567 m) is rotating at 649.9 rpm. How much force (magnitude…

Q: A cooling fan, initially rotating at 850 rpm is turned off, and then turns through 1350 complete…

A: (a) Consider the angular kinematic equation, ωf2=ωi2-2αθ (I)…

Q: At time t = 0 s, a wheel is spinning at 84 rad/s counterclockwise. It begins accelerating…

A: The formula to calculate the final angular speed of the wheel when it rotates counterclockwise is…

Q: broomstick (thin rod) has a length of 1.75meters. The broomstick is held vertically with one end in…

A: height of upper end of broomstick Potential energy stored in upper end let v be the speed of…

Q: The blade of a steel cutter is rotating at a speed of 600 rev/min. If the radius of the blade is 7.5…

A: The given data are: N=600 rev/minr=7.5 cm=0.075 m Here, N and r are the revolutions per minute and…

Q: The angular speed of a rotor in a centrifuge increases from 422 to 1350 rad/s in a time of 4.41 s.…

Q: At time t = 0 s, a wheel is spinning at 84 rad/s counterclockwise. It begins accelerating…

Q: An object is swung in a horizontal circle with an initial angular velocity of 0 rad/s. If it has an…

Q: flywheel is accelerated at a constant rate of 0.015 rev/s^2, starting from rest. (a) What is its…

Q: The flywheel of a steam engine runs with a constant angular velocity of 120 rev/min. When steam is…

Q: A flywheel with a diameter of 1.27 m is rotating at an angular speed of 272 rev/min. (a)What is the…

Q: A centrifuge in a medical laboratory rotates at an angular speed of 3,400 rev/min. When switched…

A: we use the basic equation of kinematics

Q: (a) In the figure below, wheel A of radius rA = 10 cm is co = B to wheel C of radius rc 25 cm. The…

Q: In the figure, wheel A of radius rA = 13.2 cm is coupled by belt B to wheel C of radius rc = 26.2…

A: GivenrA=13.2 cm=0.132 mrc=26.2 cm=0.262 mαA=1.17 rad/s2

Q: A flywheel with a diameter of 0.679 m is rotating at an angular speed of 221 rev/min. (a) What is…

A: Angular speed is the rate at which an object changes it angles which we measure in radians in a…

Q: Find the constant angular acceleration (in rad/s2) of the centrifuge.

Q: Most gasoline engines in today's automobiles are belt driven. This means that the crankshaft, a rod…

Q: A flywheel with a diameter of 1.81 m is rotating at an angular speed of 197 rev/min. (a) What…

A: (a)The formula for the final angular velocity in term of the constant angular acceleration and time…

Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

The flywheel of a steam engine runs with a constant angular velocity of 132 rev/min. When steam is
shut off, the friction of the bearings and of the air stops the wheel in 1.40 h. (a) What is the constant
angular acceleration, in revolutions per minute-squared, of the wheel during the slowdown? (b)
How many revolutions does the wheel make before stopping? (c) At the instant the flywheel is
turning at 66.0 rev/min, what is the tangential component of the linear acceleration of a flywheel
particle that is 42.7 cm from the axis of rotation? (d) What is the magnitude of the net linear
acceleration of the particle in (c)?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given Data

Step 2: Part-(a)

Step 3: Part-(b)

Step 4: Part-(c)

Solution

Trending now

This is a popular solution!

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Angular speed, acceleration and displacement

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A wheel rotates with a constant acceleration of 2:0 rad/s. If the wheel starts from rest, how many revolutions will it make in the first 10 seconds ?
A Google search revealed that the disc in a CD player spins at between 200 and 500 revolutions per minute (RPM) depending upon which area of the disc is being read or played. (a) How many radians per second are equivalent to 200 RPM? (b) By pressing and holding the fast-forward button, the CD player could quickly increase its speed from 200 RPM to 448 RPM in just 0.75 seconds. What was the angular acceleration (α) of the CD in units of radians per secondsquared as it sped up from 200 to 448 RPM?
An airplane engine starts from rest; and 2 seconds later, it is rotating with an angular speed of 420 rev/min. If the angular acceleration is constant, how many revolutions does the propeller undergo during this time?
A centrifuge in a medical laboratory rotates at an angular speed of 3,800 rev/min. When switched off, it rotates through 52.0 revolutions before coming to rest. Find the constant angular acceleration (in rad/s2) of the centrifuge.
A phonograph turntable rotating at 33 1/3 rev/min slows down and stops in 1.0 min. (a) What is the turntable’s angular acceleration assuming it is constant? (b) How many revolutions does the turntable make while stopping?
A rotating flywheel rotates at 400 revolutions in the first minute. In the next minute, it rotates 240 revolutions. If the number of revolutions decreases as a constant rate, how many revolutions will the wheel make before coming to a rest?
The wheel of a car starts from rest and then accelerates in such a way that its angular velocity increases uniformly to 200 rpm (revolutions per minute) in 6 seconds. After turning for a while at the same angular speed, the brakes are applied and it takes 5 minutes for the wheel to come to a stop. If the total number of revolutions the wheel makes is 3100, find the total time the wheel was turning.
You turned on your classroom ceiling fan at its lowest setting. You measured that the rotation is 250 rev/min. When adjusted to its maximum setting, the speed increases to 450 rev/min in 15s. (a) What is the angular acceleration of the blades? (b) How many revolutions do the blades go through while accelerating?
A record player is spinning at 33.3 rpm. (a) How far does it turn in 2-sec? (b) When the motor is shut off, the record player spins down for 20-sec before coming to rest. What is the angular acceleration assuming that it is constant? How many turn does it make during this coast down?
A wheel of radius 15cm begins to rotate on its axis from rest with a constant angular acceleration of 6.5 rad / s ^ 2. At t = 5 seconds, its centripetal acceleration in m / s ^ 2 is: a) 158.4b) 97.5c) 6.34d) 282
Most gasoline engines in today's automobiles are belt driven. This means that the crankshaft, a rod which rotates and drives the pistons, is timed to the camshaft, the mechanism which actuates the valves, by means of a belt. Starting from rest, assume it takes t = 0.0760 s for a crankshaft with a radius of r1 = 4.75 cm to reach 1350 rpm. If the belt does not stretch or slip, calculate the angular acceleration a2 of the larger camshaft, which has a radius of r2 = 9.50 cm, during this time period. a2 = rad/s?
In the figure, wheel A of radius ra = 13.3 cm is coupled by belt B to wheel Cof radius rc=20.4 cm. The angular speed of wheel A is increased from rest at a constant rate of 1.43 rad/s2. Find the time needed for wheel C to reach an angular speed of 58.1 rev/min, assuming the belt does not slip. (Hint: If the belt does not slip, the linear speeds at the two rims must be equal.) TA Number i Units