What is the angular momentum of an object with a mass of #5 kg# that moves along a circular path of radius #8 m# at a frequency of # 12 Hz #?

1 Answer
Dec 19, 2015

Answer:

#2.41xx10^(4)"kg.m"^(2)."s"^(-1)#

Explanation:

For circular motion the angular momentum #L# is given by:

#L=mxxvxxr#

#f=12"Hz"#

This means 12 revolutions per second. The time period #T# is given by:

#T=1/f=1/12"s"#

The distance travelled =#2pir#

So the velocity =#(2pir)/T=(2xxpixx8)/(1/12)=192pi#

#:.L=5xx192pixx8=2.41xx10^(4)"kg.m"^(2)."s"^(-1)#