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?
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}