Question

On an average a human heart is found to beat 75 times in a minute. Calculate period and frequency of the heart beat.

Answer 1

Explanation:

As per the provided information in the given question, we have :

• Number of vibrations make by the heart (n) = 75
• Time (t) = 1 minute = 60 seconds

As we know that, frequency is defined as the number of vibrations of a vibrating object per second. So,

$\longrightarrow \boxed{ \tt{ F = \dfrac{n}{t} }}$

SI unit of frequency is Hertz which is denoted by Hz.

• n denotes number of vibrations
• t denotes time

$\longrightarrow \tt { F = \dfrac{75}{60}\; Hz }$

$\longrightarrow \tt { F = \dfrac{5}{4}\; Hz }$

$\longrightarrow \underline{\boxed{ \tt { F = 1.25 \; Hz}} } \; \bigstar$

Now, we have to find the time period. Time period is the time taken by the vibrating body to complete one vibration. Time period is the reciprocal of frequency.

$\longrightarrow \boxed{ \tt{ T= \dfrac{1}{f} }}$

• T denotes time period
• f denotes frequency

$\longrightarrow \tt { F = \dfrac{1}{1.25}\; s }$

$\longrightarrow \underline{\boxed{ \tt { T = 0.8 \; s}} } \; \bigstar$

Therefore,

⠀⠀⠀⠀★ Time period = 0.8 s

⠀⠀⠀⠀★ Frequency = 1.25 Hz