Question

car of mass 800kg is travelling around a circular path of radius 200m with a speed of 10ms⁻¹. Its angular momentum is *​

Answer 1

Given:

Car of mass 800kg is travelling around a circular path of radius 200m with a speed of 10ms⁻¹.

To find:

Angular momentum of car.

Calculation:

The angular momentum for the car can be given as:

$\rm{ \therefore \: L = I \times \omega}$

$\rm{ = > \: L =( m {r}^{2}) \times \omega}$

$\rm{ = > \: L =( m {r}^{2}) \times (\dfrac{v}{r}) }$

$\rm{ = > \: L = m \times v \times r }$

Putting the values in SI unit:

$\rm{ = > \: L = 800 \times10 \times 200}$

$\rm{ = > \: L = 16 \times {10}^{5} \: kg {m}^{2} {s}^{ - 1} }$

So, final answer is:

$\boxed{\bf{ \: L = 16 \times {10}^{5} \: kg {m}^{2} {s}^{ - 1} }}$