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

Answer:

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