Final answer:
To calculate the linear speed of a bug on a turntable, convert the rotational speed from RPM to radians per second, and then multiply by the radius of the bug's path. The bug's linear speed is approximately 1.60 m/s.
Step-by-step explanation:
The subject of this question is Physics, and it is most likely at the High School level. To find the linear (tangential) speed of a bug located 0.269 meters from the center of a turntable rotating at 56.65 RPM (rotations per minute), we first convert RPM to radians per second:
RPM × (2π radians/1 rotation) × (1 minute/60 seconds) = radians/second
56.65 × (2π) × (1/60) = 5.93 radians/second (approximate)
Then, we calculate the linear speed:
Linear speed = radius × angular velocity
Linear speed = 0.269 m × 5.93 rad/s = 1.60 m/s (approximate)
Therefore, the linear speed of the bug on the turntable is 1.60 meters per second.