An object with a mass of 8 kg is traveling in a circular path of a radius of 12 m. If the object's angular velocity changes from 15 Hz to 7 Hz in 6 s, what torque was applied to the object?

1 Answer
Jan 31, 2016

Torque=-803.52 Newton.meter

Explanation:

f_1=15 Hz
f_2=7 Hz
w_1=2*3.14*15 =30*3.14=94.2( rad)/s
w_2=2*3.14*7=14*3.13=43.96 (rad)/s
a=(w_2-w_1)/t
a=(43.96-94.2)/6
a=-8.37 m/s^2
F=m*a
F=-8*8.37=-66.96 N
M=F*r
M=-66.96*12=-803.52 , Newton.meter