Respuesta :
Answer:
tick = 30
Explanation:
The angular velocity in a simple pendulum is
w² = g / L
the angular velocity is related to the period
w = 2π/ T
let's substitute
[tex]\frac{4 \pi }{T^2} = \frac{g}{L}[/tex]
T = [tex]2 \pi \sqrt{\frac{L}{g} }[/tex]
indicate that the length is m = 1, if we assume that the acceleration of gravity is g = 9.8 m / s²
T = 2π [tex]\sqrt{\frac{1}{9.8} }[/tex]
T = 2.0 s
the clock has a tick each period and since the period is 2.0 s, to complete the minute (60 s) you need
tick = 1 60 / T
tick = 1 60/2
tick = 30
The clock ticks 30 times in a minute.
Given that the clock ticks only when the pendulum makes one full swing and complete on cycle and returns to its original position. To calculate how many times the clock ticks we need to calculate the time period of the pendulum swing.
For a pendulum, the time period (T) is given by:
[tex]T=2\pi \sqrt\frac{L}{g}[/tex]
where g is the acceleration due to gravity = 9.8[tex]m/s^{2}[/tex],
and L is the length of the pendulum = 1m (given)
[tex]T=2*3.14 \sqrt\frac{1}{9.8}[/tex]
[tex]T=2s[/tex]
So, the pendulum takes 2 seconds to complete a cycle.
2s = 1 tick
60 second = 60/2 = 30 ticks
It will tick 30 times in a minute.
Learn more about pendulum:
https://brainly.com/question/20070798
