A car of mass 300kg is traveling on a circular track of radius 100m with a constant speed of 60m/s . Calculate the angular momentum.
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Concept:
The momentum is the result of a particle's mass and velocity. The rotating equivalent of linear momentum in physics is called angular momentum. It is given by the formula - L = mv × r
Given:
mass = 300kg
radius = 100m
speed = 60m/s
Find:
We need to determine the angular momentum of the car.
Solution:
The momentum is the result of a particle's mass and velocity. It is expressed as P = mv where m is mass and v is velocity
Being a vector quantity, momentum possesses both magnitude and direction.
On the other hand, The rotating equivalent of linear momentum in physics is called angular momentum.
Angular momentum is the product of linear momentum and radius and is expressed as L = mv × r where r is the radius while mv is linear momentum
We have, m as 300 kg, r as 100 m and v as 60m/s
Therefore, equation L = mvr becomes
L = 300 × 60 × 100
L = 18 × 10⁵ Kgm²s⁻¹.
Thus, the angular momentum of the car is 18 × 10⁵ Kgm²s⁻¹.
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