Question

An object is traveling with a linear velocity of 25 meters per second past a stationary object at 2 meters at their closest distance. What is the angular velocity between the two objects when they're 2 meters away from each other? What's the angular velocity when they're 4 meters away from each other? What formula to solve?

Answer 1

To calculate angular velocity, use the formula ω = v / r. With a linear velocity of 25 m/s, the angular velocity is 12.5 rad/s at 2 meters away and 6.25 rad/s at 4 meters away.

Step-by-step explanation:

The angular velocity of an object in circular motion can be found by the formula ω = v / r, where ω is the angular velocity in radians per second, v is the linear velocity, and r is the radius of the circular path. In this case, we can calculate the angular velocity of the object when it is 2 meters away (r = 2 m) and when it is 4 meters away (r = 4 m) from the stationary object, given that it has a linear velocity of 25 meters per second.

• At 2 meters away: ω = 25 m/s / 2 m = 12.5 rad/s

• At 4 meters away: ω = 25 m/s / 4 m = 6.25 rad/s