Question
A string is wrapped around a disk of mass m = 1.9 kg and radius R = 35 m, which is fixed to an axle that goes through its center. You pull the string with a constant force F = 8 N to unravel it. The torque is of 5.45 Nm due to friction between the axle and the disk. The moment of inertia of a solid disk rotating about its center is given by I = MR2 /2.
What is the
Assuming it starts from rest, how fast will the disk be spinning after the string is pulled for 3.00 seconds? Give your answer in revolutions per minute (rpm).
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
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps
Knowledge Booster
Similar questions
- 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?arrow_forwardA solid disk of uniform density and mass M = 0.950 kg with radius R = 0.250 m is suspended vertically and is free to rotate about its center without friction. A point object that has the same mass as the disk is placed at an angle 0 = 25.0° clockwise from the top along the rim, causing the disk to rotate. The acceleration due to gravity is g=9.81m/s². What is the angular speed wf of the disk when the point object is directly below the center of the disk? R 0.arrow_forwardEach propeller on a King Air twin-engine airplane consists of three blades, each of mass 21 kg and length 121 cm. The blades may be treated approximately as uniform, thin rods. What is the rotational inertia of the propeller, and if the propeller is driven by an engine that develops a torque of 2650 N⋅m, how long will it take to change the propeller's angular speed from 1250 rpm to 1850 rpm?arrow_forward
- A disk with moment of inertia 0.0216 kgᐧm2kgᐧm2 is rotating in a horizontal plane about a vertical axis through its center with an angular speed of 21.5 rad/s.rad/s. A second disk with moment of inertia of 0.00672 kgᐧm2kgᐧm2 is rotating about the same axis at an angular speed of 15.5 rad/srad/s, but in the opposite direction as the larger disk. The smaller disk drops down onto the larger disk, and due to friction, both quickly reach a common angular speed. What is this final angular speed?arrow_forwardAt t= 0 a grinding wheel has an angular velocity of 30.0 rad/s. It has a constant angular acceleration of 35.0 rad/s² until a circuit breaker trips at time t = 1.70 s. From then on, it turns through an angle 438 rad as it coasts to a stop at constant angular acceleration. Through what total angle did the wheel turn between t= 0 and the time it stopped? Express your answer in radians. 8= Submit Part B - ΑΣΦΑ 1 V Part C Request Answer At what time did it stop? Express your answer in seconds. Submit ΓΨΓ ΑΣΦ 3 Request Answer 2 @ 3 C www. 7 ΑΣΦ) → O ? What was its acceleration as it slowed down? Express your answer in radians per second squared. ? ? rad S Review Constarrow_forwardA 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.arrow_forward
- A thin rod has a length of 0.537 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.778 rad/s and a moment of inertia of 1.10 x 10³ kg-m². A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10-3 kg) gets where it's going, what is the change in the angular velocity of the rod?arrow_forwardA thin rod has a length of .340 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of. 435 rad/s and a moment of inertia of 1.04 x 10-3 kg.m2. A bug standing on the axis decides to crawl out to the other end of the rod. When the bug ( whose mass is 5 x 10-3) gets where it's going, what is the change in the angular velocity of the rod ?arrow_forwardA cylinder of radius 1.84 cm1.84 cm and a spherical shell of radius 9.47 cm9.47 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the cylinder's angular speed to the spherical shell's angular speed be?arrow_forward
- Chapter 10, Problem 057 GO A pulley, with a rotational inertia of 7.7 x 104 kg-m2 about its axle and a radius of 12 cm, is acted on by a force applied tangentiallý at its rim. The force magnitude varies in time as F = 0.80t + 0.30t, with F in newtons and t in seconds. The pulley is initially at rest. At t = 3.8 s what are (a) its angular acceleration and (b) its angular speed? (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show Workarrow_forwardAn object has a moment of inertia of 0.79 kg m2. Its angular velocity is increasing at the rate of 0.40 rad/s per second. What is the net torque (in N m2) on the object?arrow_forwardA thin rod has a length of 0.900 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.607 rad/s and a moment of inertia of 1.06 x 10-3 kg-m². A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10-3 kg) gets where it's going, what is the change in the angular velocity of the rod? Number i Unitsarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios