Question

Frictional torque causes a disk to decelerate from an angular speed of 4.30 rad/s at

t = 0

to 2.00 rad/s at

t = 4.80 s.

The equation describing the angular speed of the wheel during this time interval is given by

dθ

dt

= ω₀e^−bt,

where b and ω₀ are constants.

(a) What are the values of b and

ω₀

during this time interval?

b		= _______s−1
ω0		= _______rad/s

(b) What is the magnitude of the angular acceleration of the disk at

t = 4.80 s?

______rad/s²

(c) How many revolutions does the disk make during the interval

t = 0

to

t = 4.80 s?

________rev

Answer 1

for rev.... 14.43 rad = 14.43 / (2 X 3.14)= 2.3 rev