A torque of 37.1 N. m is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result of a directed force combined with a friction force. As a result of the applied torque the angular speed of the wheel increases from 0 to 10.1 rad/s. After 5.90 s the directed force is removed, and the wheel comes to rest 60.2 s later. (a) What is the wheel's moment of inertia (in kg · m2)? kg · m2 (b) What is the magnitude of the torque caused by friction (in N. m)? N.m (c) From the time the directed force is initially applied, how many revolutions does the wheel go through?

A torque of 37.1 N. m is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result of a directed force combined with a friction force. As a result of the applied torque the angular speed of the wheel increases from 0 to 10.1 rad/s. After 5.90 s the directed force is removed, and the wheel comes to rest 60.2 s later. (a) What is the wheel's moment of inertia (in kg · m2)? kg · m2 (b) What is the magnitude of the torque caused by friction (in N. m)? N.m (c) From the time the directed force is initially applied, how many revolutions does the wheel go through?

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 torque of 36.8 N · m is applied to an initially motionless wheel which rotates around a fixed…

A: torque = 36.8 N initial angular speed = 0 rad/sfinal angular speed = 10.1 rad/sec t1 = 6.2s a) using…

Q: A person is riding a bicycle, and its wheels have an angular velocity of 21.0 rad/s. Then, the…

A: A person is riding a bicycle, and its wheels have an Angular velocity of 21.0 rad/s. Then, the…

Q: Two disks are rotating about the same axis. Disk A has a moment of inertia of 4.40 kg.m and an…

Q: A combination of an applied force and a frictional force produce a constant total torque of 32 N-m…

A: Torque τ=IαI=τα=τωf-ωit

Q: A car is traveling along a road, and its engine is turning over with an angular velocity of +220…

A: The initial angular velocity of the car's engine is ωo=220 rad/s.The final angular velocity of the…

Q: A carousel has a moment of inertia l=100.0 kg-m^2 and a radius R = 3.0 m. The carousel is initially…

Q: A person is riding a bicycle, and its wheels have an angular velocity of 13.5 rad/s. Then, the…

Q: The combination of an applied force and a friction force produces a constant total torque of 35.4 N…

A: Given data: Total torque acting on the wheel is, τ= 35.4 N.m The applied force act for a time of, t=…

Q: A person is riding a bicycle, and its wheels have an angular velocity of 16.4 rad/s. Then, the…

Q: A torque of 36.5 N.m is applied to an initially motionless wheel which rotates around a fixed axis.…

A: Data Given , Torque ( τ ) = 36.5 N.m Initial angular speed ( ω0 ) = 0 Final angular speed ( ω ) =…

Q: A torque of 35.3 N · m is applied to an initially motionless wheel which rotates around a fixed…

A: torque applied= 35.3 Nm Iα=35.3Nm time given=5.80 s α=ωf-ωi /tα=10.3-05.80 =1.775 rad/s2Iα=35.3…

Q: The angular acceleration of a wheel is a = 7.0t4 – 6.0t², with a in radians per second-squared and t…

Q: A wheel starts from rest and rotates with constant angular acceleration to reach an angular speed of…

A: Given data As the body starts from rest therefore, the initial angular velocity is ω0=0. The final…

Q: A student sits on a rotating stool holding two 28-kg objects. When his arms are extended…

Q: A figure skater is spinning with an angular velocity of +13.3 rad/s. She then comes to a stop over a…

A: Given data: Initial angular velocity of the skatter is, ω0=+13.3 rad/s Final angular velocity of the…

Q: A sanding disk with rotational inertia 3.5 x 103 kg-m² is attached to an electric drill whose motor…

A: When a rigid body is rotating about a fixed axis, then every point of the body rotates in a circle…

Q: A sanding disk with rotational inertia 1.3 x 103 kg-m² is attached to an electric drill whose motor…

Q: A torque of 36.2 N · m is applied to an initially motionless wheel which rotates around a fixed…

Q: The angular acceleration of a wheel is a = 9.0t4 - 8.0t2, with a in radians per second-squared and t…

Q: A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a…

Q: A person is riding a bicycle, and its wheels have an angular velocity of 16.6 rad/s. Then, the…

Q: A solid sphere with a radius of 7.0 cm and a mass of 0.2 kg starts from rest and rolls freely down a…

Q: A solid disk of radius R=80cm rotated about its center at an angular speed of 61 revolutions per…

A: The rotational kinetic energy is the rotational analog of the linear kinetic energy of an object. It…

Q: Two disks are rotating about the same axis. Disk A has a moment of inertia of 7.22 kg-m² and an…

A: Given Information:- Moment of inertia of disk A is IA=7.22 kg.m2 Initial angular speed of A is…

Q: A disk, initially rotating at 119 rad/s, is slowed down with a constant angular acceleration of…

Q: A wheel accelerates with a constant angular acceleration of 5.0 rad/s2. If the initial angular…

Q: An ice skater is spinning at 5.8 rev/s and has a moment of inertia of 0.56 kg ⋅ m2. Suppose instead…

A: The objective of the question is to find the magnitude of the average torque exerted on the ice…

Q: A pulley made up of a solid disk is wound with a light rope. Suppose the rope is pulled by a net…

Q: A 20cm radius turn-table is turning with a constant angular speed ω0=33rev/min . The turn-table has…

A: a) When gum falls on the table, its weight is the new force which starts acting in the downward…

Q: A disk of mass M is spinning freely at 7.69 rad/s when a second identical disk, initially not…

Q: The disk with mass m = 2.5 kg and radius r= 20 cm rotates like a merry-go-round under the torque…

Q: A car is traveling along a road, and its engine is turning over with an angular velocity of +210…

A: (a) The angular velocity is given by, ω0=θt θ=ω0t Substituting the given values, θ=210 rad/s13.0 s…

Question

A torque of 37.1 N· m is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result of a directed force combined with a friction force. As a result of the applied
torque the angular speed of the wheel increases from 0 to 10.1 rad/s. After 5.90 s the directed force is removed, and the wheel comes to rest 60.2 s later.
(a) What is the wheel's moment of inertia (in kg · m2)?
kg • m2
(b) What is the magnitude of the torque caused by friction (in N• m)?
N.m
(c) From the time the directed force is initially applied, how many revolutions does the wheel go through?
revolutions

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

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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 person is riding a bicycle, and its wheels have an angular velocity of 13.5 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 16.7 revolutions. (a) How much time does it take for the bike to come to rest? (b) What is the anguar acceleration (in rad/s2) of each wheel? (a) Number Type your answer for part (a) here Units Choose your answer for part (a) here (b) Number Type your answer for part (b) here Units Choose your answer for part (b) here
A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10 s period following the inital spin, the bike wheel undergoes 70 complete rotations. Assuming the frictional torque remains constant, how much more time Δts will it take the bike wheel to come to a complete stop?
A person is riding a bicycle, and its wheels have an angular velocity of 13.5 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 16.7 revolutions. (a) How much time does it take for the bike to come to rest? (b) What is the anguar acceleration (in rad/s2) of each wheel? (a) Number Type your answer for part (a) here Units Choose your answer for part (a) here (b) Number Type your answer for part (b) here Units Choose your answer for part (b) here
Two 1.5 kg spheres of radius 0.20 m are each rotating at 24 rad/s about axes that pass through their centers. One is a thin-walled spherical shell and one is solid. Suddenly, a net torque of 0.12 Nm acts on each sphere and slows the motion down. Which sphere (solid or shell) comes to a halt first?
A disk with mass m = 9 kg and radius R = 0.37 m begins at rest and accelerates uniformly for t = 16.9 s, to a final angular speed of w = 33 rad/s.
A combination of an applied force and a frictional force produce a constant total torque of 32 N-m on a wheel rotating about a fixed axis. This combined force acts for 10 s, during which the wheel’s angular speed increases from 0 to 8 rad/s. Find the moment of inertia of the wheel.
A machine part rotates at an angular speed of 0.066 rad/s; its speed is then increased to 2.3 rad/s at an angular acceleration of 0.80 rad/s2. (a) Find the angle through which the part rotates before reaching this final speed. rad (b) If both the initial and final angular speeds are doubled and the angular acceleration remains the same, by what factor is the angular displacement changed? by a factor of 2 by a factor of 4 by a factor of 16 The angular displacement doesn't change.
A torque of 35.6 N · m is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result of a directed force combined with a friction force. As a result of the applied torque the angular speed of the wheel increases from 0 to 9.9 rad/s. After 5.80 s the directed force is removed, and the wheel comes to rest 59.8 s later.
A torque of 36.2 N · m is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result of a directed force combined with a friction force. As a result of the applied torque the angular speed of the wheel increases from 0 to 10.5 rad/s. After 6.10 s the directed force is removed, and the wheel comes to rest 61.0 s later. (a) What is the wheel's moment of inertia (in kg · m2)? kg • m m2 (b) What is the magnitude of the torque caused by friction (in N m)? N. m (c) From the time the directed force is initially applied, how many revolutions does the wheel go through? revolutions
A flywheel has a constant angular deceleration of 1.6 rad/s/s. If the flywheel comes to rest from an angular velocity of 269.2 rad/s, what was the angular displacement and the time for the wheel's rotation?
A disk of mass M is spinning freely at 9.27 rad/s when a second identical disk, initially not spinning, is dropped onto it so that their axes coincide. In a short time the two disks are corotating. HINT (a) What is the angular speed of the new system (in rad/s)? rad/s (b) If a third such disk is dropped on the first two, find the final angular speed of the system (in rad/s). rad/s
A person is riding a bicycle, and its wheels have an angular velocity of 16.1 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 12.7 revolutions. (a) How much time does it take for the bike to come to rest? (b) What is the anguar acceleration (in rad/s2) of each wheel?