What is the angular momentum of an object with a mass of #5 kg# that moves along a circular path of radius #3 m# at a frequency of # 18 Hz #?

2 Answers
Mar 14, 2018

Answer:

#5089.38\ "kg m"^2//"s"#

Explanation:

Angular momentum (#L#) is given as

#L = I ω#

#L = mr^2 × 2 π f#

Moment of inertia of small object is #mr^2#; #omega = 2 π f#

#L = "5 kg" × ("3 m")^2 × 2 × π × "18 Hz" = 5089.38\ "kg m"^2//"s"#

Mar 14, 2018

Answer:

The angular momentum is #=5089.4kgm^2s^-1#

Explanation:

The angular momentum is #L=Iomega#

where #I# is the moment of inertia

The mass of the object is #m=5kg#

The radius of the path is #r=3m#

The moment of inertia of the object is given by

#I=mr^2#

#=5*3^2= 45 kgm^2#

The frequency is #f=18Hz#

The angular velocity is #omega=2pif=2*18*pi=36pirads^-1#

The angular momentum is

#L=Iomega=45*36pi=5089.4kgm^2s^-1#