Final answer:
The flea's tangential velocity on the outer edge of a record album with a radius of 0.125 meters, making one revolution in 1.35 seconds, is approximately 0.292 meters per second.
Step-by-step explanation:
The question is asking for the tangential velocity of a flea that is riding on the outer edge of a record album with a given radius that completes one revolution in a given time. To calculate the tangential velocity, we can use the formula:
v = 2πr / T
Where:
- v is the tangential velocity,
- π is Pi (approximately 3.14159),
- r is the radius of the record album,
- T is the period of revolution (the time for one complete revolution).
Substituting the given values (r = 0.125 m, T = 1.35 s) into the formula:
v = 2 π × 0.125 m / 1.35 s
Calculating this gives a tangential velocity of:
v ≈ 0.292 m/s
So, the flea's tangential velocity is approximately 0.292 meters per second.