Question

A beetle lands on a moving turntable. If it takes 2.40s for the beetle to make one complete revolution while traveling at a tangential velocity of 1.65m/s, then how far from the center of the turntable did the beetle land?

A) 0.88 m
B) 1.98 m
C) 2.35 m
D) 4.76 m

Answer 1

The beetle landed approximately 0.882 meters from the center of the turntable.

Step-by-step explanation:

To find the distance from the center of the turntable where the beetle landed, we can use the formula for tangential velocity. Tangential velocity is given by the formula v = rω, where v is the tangential velocity, r is the distance from the center, and ω is the angular velocity. In this case, the beetle takes 2.40s to complete one revolution, so the angular velocity is 2π/2.4. Substituting the given values, we have 1.65 = r * (2π/2.4). Solving for r, we find r ≈ 0.882 m. Therefore, the beetle landed approximately 0.882 meters from the center of the turntable, which is option A) 0.88 m. Therefore, the distance from the center of the turntable to where the beetle landed is approximately 0.63 meters. None of the provided options (A, B, C, D) exactly match the calculated value. It's possible there might be an error in the given options or the values provided. Double-check the problem or the answer choices for accuracy.