A 1400 kg car is traveling at 28 m/s around a curve with a radius of 116 m. What is the angular momentum of the car?

I = m r^2

omega = v/r
I omega = m v r = 1400 * 28 * 116

To find the angular momentum of the car, we need to use the formula:

Angular momentum (L) = Moment of inertia (I) * Angular velocity (ω)

The moment of inertia for a point mass rotating around a fixed axis is given by:

Moment of inertia (I) = mass (m) * radius (r)²

In this case, the car is rotating around a curve with a radius of 116 m. The mass of the car is 1400 kg.

Plugging in the values:

Moment of inertia (I) = 1400 kg * (116 m)²

Now, we need to find the angular velocity (ω). The formula for angular velocity is:

Angular velocity (ω) = Linear velocity (v) / Radius (r)

In this case, the linear velocity (v) is given as 28 m/s and the radius (r) is 116 m.

Plugging in the values:

Angular velocity (ω) = 28 m/s / 116 m

Finally, we can calculate the angular momentum (L) by multiplying the moment of inertia (I) by the angular velocity (ω):

Angular momentum (L) = Moment of inertia (I) * Angular velocity (ω)

Therefore, the angular momentum of the car is:

L = (1400 kg * (116 m)²) * (28 m/s / 116 m)

To calculate the angular momentum of the car, we need to know its moment of inertia and its angular velocity. Here's how you can calculate it step by step:

1. Calculate the angular velocity (ω) of the car using the formula: ω = v/r
Where,
- ω is the angular velocity
- v is the linear velocity of the car
- r is the radius of the curve

In this case, the linear velocity (v) of the car is given as 28 m/s, and the radius (r) of the curve is given as 116 m.

So, substitute the given values in the formula:
ω = 28 m/s / 116 m

2. Calculate the moment of inertia (I) of the car using the formula: I = m * r^2
Where,
- I is the moment of inertia
- m is the mass of the car
- r is the radius of the curve

In this case, the mass (m) of the car is given as 1400 kg, and the radius (r) of the curve is given as 116 m.

So, substitute the given values in the formula:
I = 1400 kg * (116 m)^2

3. Finally, calculate the angular momentum (L) of the car using the formula: L = I * ω
Where,
- L is the angular momentum
- I is the moment of inertia
- ω is the angular velocity

Substituting the calculated values:
L = (1400 kg * (116 m)^2) * (28 m/s / 116 m)

Solve this expression to find the angular momentum of the car.