Question

HELP!!!!

My Science teacher does not know how to do this!!!
1. A car is driving around a curve at a constant speed of 30 mph. The car has a mass of 2000 kg and a radius of 0.5 m. Calculate the angular momentum of the car.

Answer 1

30000 kg*m^2/s

Step-by-step explanation:

To calculate the angular momentum of the car, we can use the formula L = I * omega, where L is the angular momentum, I is the moment of inertia, and omega is the angular velocity.

We can calculate the moment of inertia of the car as follows:

I = mr^2

Plugging in the values, we get:

I = 2000 kg * (0.5 m)^2

= 500 kg*m^2

Next, we need to calculate the angular velocity of the car. To do this, we can use the formula omega = v/r, where v is the linear velocity and r is the radius of the curve.

Plugging in the values, we get:

omega = 30 mph / 0.5 m

= 60 rad/s

Now that we have the moment of inertia and the angular velocity, we can calculate the angular momentum as follows:

L = I * omega

= 500 kgm^2 * 60 rad/s

= 30000 kgm^2/s

Therefore, the angular momentum of the car is 30000 kg*m^2/s.

Answer 2

To calculate the angular momentum of the car, you will need to use the formula:

angular momentum = mass * velocity * radius

Plugging in the values you provided:

angular momentum = 2000 kg * 30 mph * 0.5 m

This gives us an angular momentum of 3000 kg*m^2/s.

Is there anything else I can help you with?

Step-by-step explanation: