145k views
4 votes
During a windmill dun Vince Carter moves the basketball in a circle at 30 m/s with acceleration of 1000 m/s². How long is his arm?

A) 2 m
B) 3 m
C) 4 m
D) 5 m

User Enthuziast
by
6.4k points

1 Answer

4 votes

Final answer:

Vince Carter's arm is 0.03 m or 3 cm long.

Step-by-step explanation:

The angular velocity of an object rotating in a circle can be calculated using the formula:ω = v / r

Where ω is the angular velocity, v is the linear velocity, and r is the radius of the circle.

In this case, Vince Carter is moving the basketball in a circle at 30 m/s with an acceleration of 1000 m/s². We are given the linear velocity, so we can calculate the radius using the formula:r = v / a

Substituting the given values, r = 30 m/s / 1000 m/s² = 0.03 m. Therefore, the length of Vince Carter's arm is 0.03 m, which is equivalent to 3 cm.

User Ojunk
by
7.6k points