A circular object with a diameter of 5cm is rolling on a horizontal surface moving at 2m/s. It then rolls down an incline with a 30° angle below the horizontal, as it rolls down it takes 5.25 s at an constant acceleration of 1.2rad/s before setting on a second horizontal surface. What is the vertical height that the object travelled?

A circular object with a diameter of 5cm is rolling on a horizontal surface moving at 2m/s. It then rolls down an incline with a 30° angle below the horizontal, as it rolls down it takes 5.25 s at an constant acceleration of 1.2rad/s before setting on a second horizontal surface. What is the vertical height that the object travelled?

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 60A

See similar textbooks

Similar questions

An ice skater is preparing for a jump with turns and has his arms extended. His moment of inertia is 1.8kgm2 while his arms are extended, and he is spinning at 0.5 rev/s. If he launches himself into the air at 9.0 m/s at an angle of 45 with respect to the ice, how many revolutions can he execute while airborne if his moment of inertia in the air is 0.5kgm2 ?
Explain why centripetal acceleration changes the direction of velocity in circular motion but not its magnitude.
At its peak, a tornado is 60.0 m in diameter and carries 500 km/h winds. What is its angular velocity in revolutions per second?
If a centrifuge has an angular acceleration of 33.8 rad/s2 and a radius of 30 meters, what is its linear acceleration?
How fast (in rpm) must a centrifuge rotate if a particle 8.50 cm from the axis of rotation is to experience an acceleration of 120000 g's?
An electrical motor spins at a constant 2,695.0 rpm. The rotor radius is 7.165 cm, what is the linear acceleration of the edge of the rotor in m/s^2?
A wheel of radius R starts from rest and accelerates with a constant angular acceleration a about a fixed axis. At what time t willthe centripetal and tangential accelerations of a point on the rimhave the same magnitude?
A particle moves along a circular path of radius300 mm. If its angular velocity isθ = (3t2) rad/s, where t isin seconds, determine the magnitudes of the particle’svelocity and acceleration whenθ = 45°. The particle startsfrom rest when θ= 0°
A DVD which has a diameter of 12 cm is initially at rest so that theline PQ on the disc’s surface is alongthe +x-axis. The disc begins to turnwith a constant angular acceleration az = 5 rad/s^2. At t = 0.40 s, what is the linear velocity in m/s of a point on the rim?
A car, initially traveling at 17m/s has tires with a radius of 0.20m. If the brakes are capable of decelerating the rotation of the wheels at 25.5rad/s^2?, how long (in time, and distance) will it take for the car to come to a halt?
A device for acclimating military pilots to the high accelerations they must experience consists of a horizontal beam that rotates horizontally about one end while the pilot is seated at the other end. In order to achieve a radial acceleration of 32.1 m/s2 with a beam of length 5.51 m, what rotation frequency is required?
A centrifuge in a forensic investigation laboratory rotates at an angular speed of 3,650 rev/min, clockwise (when viewed from above). When switched off, it rotates through 48.0 revolutions before coming to rest. Assuming it is constant, what is the magnitude of angular acceleration (in rad/s2)?