Question

What is the period of the turntable? Express your answer with the appropriate units.

A) 2 seconds
B) 0.5 seconds
C) 4 seconds
D) 1 second

Answer 1

To calculate the period of the turntable, we divide
`60 seconds` by the turntable's speed in revolutions per minute, resulting in a period of 1.8 seconds. However, this answer does not match the provided options, hinting at a possible error in the question or the answer choices.

Step-by-step explanation:

To find the period of the turntable, we need to understand the concept of period and how it relates to rotation. The period is the amount of time it takes for an object to complete one full rotation. In the case of the phonograph turntable given in the problem which rotates at
`33 1/3` revolutions per minute (rpm), we can calculate the period by using the relation between time and the number of rotations. Since there are
`60` seconds in a minute we divide 60 by the number of revolutions per minute to get the period in seconds.

Therefore, the period T is given by,

`rev/min = (60 × 3) / 100 seconds = 1.8 seconds`.

However, this period does not match any of the answer choices provided, implying there might be an error in the question or answer choices presented. Since we are required to choose from the given options and none correlates with
`1.8 seconds`, we cannot confidently select any answer without further clarification.