## Please Help me A record player runs at 78 RPMs (revolutions per minute). That means that it spins 78 times (cycles) in a minute.

Question

A record player runs at 78 RPMs (revolutions per minute). That means that it spins 78 times (cycles) in a minute. work each one out.

a. Find the frequency of the record player.

b. Find the period of the record player.

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3 years 2021-07-31T18:45:02+00:00 2 Answers 22 views 0

a. the frequency of the record player

f = 1.3 rev per second = 1.3 Hz

b. the period of the record player.

T = 0.77 seconds

Explanation:

Given;

Speed of record player v = 78 rpm

a) frequency of the record player is the number of revolutions the record player makes per second.

f = 78 rev/minute = 78/60sec = 1.3 rev per second

f = 1.3 Hz

b) period of the record player is the amount of time needed by the record player to complete one revolution.

T = 1/f (or 60s/78rev = 0.77 s)

T = 1/1.3

T = 0.77 seconds

(a) The frequency of the record player is 1.3 Hz

(b) The period of the record player is  0.77 s

Explanation:

Given number of revolution per minute = 78 RPM

Part (a) the frequency of the record player

One revolution per minute, 1 RPM = ¹/₆₀ Hz

78 RPM = ?

Thus, 78 RPM = 78 ( ¹/₆₀ HZ) = 1.3 Hz

The frequency of the record player is  1.3 Hz

Part (b) the period of the record player

Period is inverse of frequency

T = 1 / f

T = 1 / 1.3 Hz

T = 0.77 s

The period of the record player is 0.77 s