In: Physics
You are standing on the sidewalk, waiting to cross Michigan Street. A Toyota RAV4 (~2500 lbs) goes by at 30 MPH. Assuming you are about 20 feet from the center of the lane, what is the angular momentum of the RAV4 about your position?
Let's take the point you are standing is the centre of the circle and Toyota is at opposite point of circumference,
therefore, radius r = 20 feet = 6.096 m
We are given,
Mass m = 2500 lbs = 1133.981 kg
Velocity v = 30 mph = 13.4112 m/s
Angular momentum L = ?
Angular momentum is given by:
Where,
is the linear momentum
is the angle between r and v
Here, is the 90 degree because you are standing on the sidewalk and exactly opposite the sidewalk the Toyota is crossing you.
So 92.708 x 103 kg m2 s-1 is the angular momentum about your position.