### Problem StatementA cable lifting an elevator (600 kg) is wrapped around a 1.0 m diameter cylinder (20 kg) that is turned by the elevator’s motor. The elevator is moving upward at a speed of 2.0 m/s then slows to a stop.(Note: \( I(\text{cylinder}) = \frac{1}{2} M R^2 \))#### Questions:a. What is the angular acceleration (a) of the cylinder? b. What are the initial and final angular velocities (ω) of the rotor? c. What angle (Δθ) does the cylinder cover while stopping? d. How long does it take to stop the elevator?

Given: The mass of the elevator is 600 kg. The diameter of the cylinder is 1 m. The mass of the…

A cable lifting an elevator (600-kg) is wrapped around a 1.0-m diameter cylinder (20-kg) that is turned by the elevator's motor. The elevator is moving upward at a speed of 2.0-m/s then slows to a stop. (Note: I(cylinder)= ½ M R2) a. What is the angular acceleration (a) of the cylinder? b. What are the initial and final angular velocities (w) of the rotor. c. What angle (Dq) does the cylinder cover while stopping? d. How long does it take to stop the elevator?

A cable lifting an elevator (600-kg) is wrapped around a 1.0-m diameter cylinder (20-kg) that is turned by the elevator's motor. The elevator is moving upward at a speed of 2.0-m/s then slows to a stop. (Note: I(cylinder)= ½ M R2) a. What is the angular acceleration (a) of the cylinder? b. What are the initial and final angular velocities (w) of the rotor. c. What angle (Dq) does the cylinder cover while stopping? d. How long does it take to stop the elevator?

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

Similar questions

When a carpenter shuts off his circular saw, the 10.0-inch-diameter blade slows from 4385 rpm to zero in 3.25 s . What is the angular acceleration of the blade? What is the distance traveled by a point on the rim of the blade during the deceleration? What is the magnitude of the net displacement of a point on the rim of the blade during the deceleration?
The end of the cutting cord on a gas-powered weed cutter is 0.21 m in length. If the motor starts from rest and accelerates with an angular acceleration of 52 rad/s² for 1.82 s then continues with uniform angular velocity. What is the rpm of the cutting cord after the 1.82 s?
Suppose a piece of dust finds itself on a CD. If the spin rate of the CD is 375 rpm, and the piece of dust is 4.2 cm from the center, what is the total distance (in m) traveled by the dust in 7 minutes? (Ignore accelerations due to getting the CD rotating.) m
A particle undergoes uniform motion. the speed of the particle is 10.0m/s. and the radius of its circular path 3.20m a. determine the time it takes the particle to go around its circular path once. b. determine the angular speed of the particle c. determine the centripetal acceleration of the particular
A turntable is off and is not spinning. A 0.9 g ant is on the disc and is 14 cm away from the center. The turntable is turned on and 1.4 s later it has an angular speed of 33 rpm. Assume the angular acceleration is constant and determine the following quantities for the ant 0.7 s after the turntable has been turned on. Express all quantities using appropriate mks units. a => W = V= atan arad a= Fnet
A ball of radius 0.200 m rolls with a constant linear speed of 2.80 m/s along a horizontal table. The ball rolls off the edge and falls a vertical distance of 2.20 m before hitting the floor. What is the angular displacement of the ball while the ball is in the air? 0 = i
A uniform disk with radius 0.800 m and mass 30.0 kg rotates in a horizontal plane on a frictionless vertical axle that passes through the center of the disk. The angle through which the disk has turned varies with time according to 0(t) = (1.10 rad/s)t + (6.30 rad/s²)t². Part A What is the resultant linear acceleration of a point on the rim of the disk at the instant when the disk has turned through 0.100 rev? Express your answer with the appropriate units. a = μA Value Submit Request Answer = Units ?
Look at the picture
An optical disk drive in your computer can spin a disk up to 10,000 rpm (about 1045 rad/s). If a particular disk is spun at 910.0 rad/s while it is being read, and then is allowed to come to rest over 0.301 seconds, what is the magnitude of the average angular acceleration of the disk? rad average angular acceleration: s2 If the disk is 0.12 m in diameter, what is the magnitude of the tangential acceleration of a point 1/8 of the way out from the center of the disk? m tangential acceleration:
The crankshaft in your car engine is turning at 3000 rpm. What is the shaft’s angular speed in rad/s?
A child sits on a merry-go-round that has a diameter of 4.00 m. The child uses her legs to push the merry-go-round, making it go from rest to an angular speed of 17.0 rpm in a time of 43.0 s. What is the average angular acceleration aavg of the merry-go-round in units of radians per second squared (rad/s?)? davg = rad/s2 What is the angular displacement Að of the merry-go-round, in units of radians (rad), during the time the child pushes the merry-go-round? A0 = rad about us careers privacy policy terms of use contact us help tv MacBook Air II F8 F10 D00 000 CA F9 F7
The tires of a car make 85.0. revolutions as the car reduces its speed uniformly from 90.0 km/hr to 60.0 km/hr. The tires have a diameter of 0.90 m. What is the angular acceleration? If the car continues to slow down at this rate, how much more time is required to stop?