Before CDs and cassette tapes, there were vinyl records. The most comon spun with an angular velocity of 33.3 rpm . How many degrees does a 33.3 rpm record rotate through in 2.70 seconds?

Answer 1

To find the number of degrees a 33.3 rpm record rotates through in 2.70 seconds, we can use the formula:

\text{Degrees rotated} = \text{Angular velocity} \times \text{Time}

Since the angular velocity is given in terms of rotations per minute (rpm), we need to convert it to degrees per second.

1 rotation = 360 degrees

1 minute = 60 seconds

Therefore, 33.3 rpm is equivalent to:

33.3 rotations/minute × 360 degrees/rotation = 11988 degrees/minute

To convert to degrees per second, we divide by 60:

11988 degrees/minute ÷ 60 seconds/minute = 199.8 degrees/second

Now we can calculate the degrees rotated:

\text{Degrees rotated} = 199.8 \text{ degrees/second} \times 2.70 \text{ seconds}

\text{Degrees rotated} = 539.46 \text{ degrees}