What is the angular momentum of an object with a mass of #4 kg# that moves along a circular path of radius #2 m# at a frequency of # 1 Hz #?

2 Answers
Mar 4, 2018

Angular momentum is expressed as #Iomega# (where, #I# is the moment of inertia and #omega# is the angular velocity)

In this case given, #nu=1 Hz#

we know, #omega =2pinu=2pi*1=2pi rads^-1#

And moment of inertia of the object,w.r.t the centre of thr circular pathway it is moving is #Mr^2 =4*(2)^2 =16Kg.m^2#

So,angular momentum of this object is #16*2pi=100.531Kgm^2rads^-1#

Mar 4, 2018

Answer:

The angular momentum is #=100.5kgm^2s^-1#

Explanation:

The angular momentum is #L=Iomega#

where #I# is the moment of inertia

The mass of the object is #m=4kg#

The radius of the path is #r=2m#

The moment of inertia of the object is given by

#I=mr^2#

#=4*2^2= 16 kgm^2#

The frequency is #f=1Hz#

The angular velocity is #omega=2pif=2*1*pi=2pirads^-1#

The angular momentum is

#L=Iomega=16*2pi=100.5kgm^2s^-1#