In: Physics
QUESTION 1
A disk (radius 13.5 cm] rotates about a fixed axis through its center of mass and perpendicular to the disk. At t = 0 the disk is rotating at frequency 6.64 Hz, and it accelerates uniformly to frequency 27.6 Hz after spinning through 60.4 revolutions. Find the angular acceleration of the disk, in rad/s2.
QUESTION 2
The wheel of a cart has radius 64.6 cm. How many revolutions will it make if the cart goes 6.45 km?
Multiple questions posted, so answeing only the first question:
1. angular velocity is given by:=2f, where is angular velocity, f is frequency.
Initial frequency=6.64 Hz
So,initial angular velocity i= 2*6.64=41.72 rad/s.
Final frequency=27.6 Hz
So,final angular velocity f= 2*27.6=173.42 rad/s.
Angular displacement =60.4 revolutions=60.4*2=379.5 radians.
Now,in uniform acceleration, f2=i2+2, where f is final angular velocity,i is initial angular velocity, is angular acceleration, is angular displacement.
So,173.422=41.722+2*379.5
=>2*379.5=173.422-41.722=28333.938
=>=28333.938/(2*379.5)=37.33 rad/s2