A solid ball is pushed down a 0.91m high hill with an initial velocity of 1.24m/s. If the ball has a mass of 1.71kg and a radius of 0.36m, find the following: < The final linear velocity The final angular velocity The initial angular velocity 1. 3.44 rad/s 2. 10.38 rad/s 3. 3.74m/s 4. 0m/s 5. Orad/s

A solid ball is pushed down a 0.91m high hill with an initial velocity of 1.24m/s. If the ball has a mass of 1.71kg and a radius of 0.36m, find the following: < The final linear velocity The final angular velocity The initial angular velocity 1. 3.44 rad/s 2. 10.38 rad/s 3. 3.74m/s 4. 0m/s 5. Orad/s

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter8: Rotational Motion

Section: Chapter Questions

Problem 93A

See similar textbooks

Similar questions

During a 6.0-s time interval, a fly-wheel with a constant angular acceleration turns through 500 radians that acquire an angular velocity of 100 rad/s. (a) What is the angular velocity at the beginning of the 6.0 s? (b) What is the angular acceleration of the fly-wheel?
Integrated Concepts An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (a) What is its angular acceleration in rad/s2? (b) What is the tangential acceleration of a point 9.50 cm from the axis of rotation? (c) What is the radial acceleration in m/s2 and multiples of g of this point at full rpm?
Olympic ice skaters are able to spin at about 5 rev/s. (a) What is their angular velocity in radians per second? (b) What is the centripetal acceleration of the skater's nose if it is 0.120 m from the axis of rotation? (c) An exceptional skater named Dick Button was able to spin much faster in the 1950s than anyone since—at about 9 rev/s. What was the centripetal acceleration of the tip of his nose, assuming it is at 0.120 m radius? (d) Comment on the magnitudes of the accelerations found. It is reputed that Button ruptured small blood vessels during his spins.
The dung beetle is known as one of the strongest animals for its size, often forming balls of dung up to 10 times their own mass and rolling them to locations where they can be buried and stored as food. A typical dung ball formed by the species K. nigroaeneus has a radius of 2.00 cm and is rolled by the beetle at 6.25 cm/s. (a) What is the rolling balls angular speed? (b) How many full rotations are required if the beetle rolls the ball a distance of 1.00 m?
(a) What is the angular speed of the second hand of a clock? (b) What is the direction of as you view a clock hanging on a vertical wall? (c) What is the magnitude of the angular acceleration vector of the second hand?
Jeff, running outside to play, pushes on a swinging door, causing its motion to be briefly described by = t2 + 0.800 t + 2.00,where t is in seconds and is in radians. At t = 0 and at t = 1.50s, what are the a. angular position, b. angular speed, and c. angularacceleration of the door?
A wheel is rotating about a fixed axis with constant angular acceleration 3 rad/s2. At different moments, its angular speed is 2 rad/s, 0. and +2 rad/s. For a point on the rim of the wheel, consider at these moments the magnitude of the tangential component of acceleration and the magnitude of the radial component of acceleration. Rank the following five items from largest to smallest: (a) |at| when = 2 rad/s, (b)|ar| when = 2 rad/s, (c)|ar| when = 0, (d) |at| when = 2 rad/s, and (e) |ar| when = 2 rad/s. If two items are equal, show them as equal in your ranking. If a quantity is equal to zero, show that fact in your ranking.
During a very quick stop, a car decelerates at 7.89 m/s^2. a. what is the angular acceleration (in rad/s^2) of its 0.221-m-radius tires, assuming they do not slip on the pavement? 35.7 rad/s2 b. How many revolutions do the tires make before coming to rest, given their initial angular velocity is 86 rad/s? 16.5 rev c. how long (in s) does the car take to stop completely? 2.41 s d. what distance (in m) does the car travel in this time? e. what was the car's velocity (in m/s)?
During a very quick stop, a car deceleraes at 7.00 m/s^2.a. What is the angular acceleration of its 0.280-m-radius tires, assuming they do not slip on the pavement? Answer: 25.0 rad/sec^2b. How many revolutions do the tires make before coming to rest, given their initial angular velocity is 95.0 rad/s? Answer: 28.7 turnsc. How long does the car take to stop completely? 3.8 secd. What distance does the car travel in this time?e. What was the car’s initial velocity?f. Do the values obtained seem reasonable, considering that this stop happens very quickly? Note: I only need subpart d. to f. Answers
A circular disc is initially rotating at 2.0 rad/s and has a constant angular acceleration. After 2.5 s it thas rotated through 9.7 rad. Its angular acceleration (rad/s2)is 1.50 .a O 0.75.b O 0.38.c O 7.52.d O
A rotating disk is initially spinning at w = 6 rev/s, slows down and stops in 19.7 s. What is the magnitude of the disk's average angular acceleration? %3D (in rev/s^2) 0.30 .a O 0.61 .b O 0.30- .c O 59.10 .d O
A thin disk rotates about an axis that goes through its center perpendicular to its plane. The disk is rotating counter- clockwise and slowing down. What can be said about the angular speed and acceleration of the disk? O Angular speed is positive, angular acceleration is positive O Angular speed is negative, angular acceleration is positive O Angular speed is negative, angular acceleration is negative O Angular speed is positive, angular acceleration is negative