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3 years ago

12

A pendulum bob is made from a sphere filled with water. What would happen to the frequency of vibration of this pendulum if the

sphere had a hole in it that allowed the water to leak out slowly?

1 answer:

Nady [450]3 years ago

7 0

Answer:

The frequency would not change because the frequency of a simple pendulum does not depend on mass.

Explanation:

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Answer: 7200 m

Explanation: The solution is, first convert 15 minutes to seconds.

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Use the formula for speed which is v= d/t then derive for d.

d = vt

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Explanation:

Mass of the wheel, m = 49 kg

Radius of the hoop, r = 0.73 m

Initial angular speed of the wheel, $\omega_i=114\ rev/min = 11.93\ rad/s$

Final angular speed of the wheel, $\omega_f=0$

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(a) If I is the moment of inertia of the hoop. It is equal to,

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$I=49\times (0.73)^2$

$I=26.11\ kg-m^2$

We know that the work done is equal to change in kinetic energy.

$W=\Delta E$

$W=\dfrac{1}{2}I(\omega_f^2-\omega_i^2)$

$W=-\dfrac{1}{2}\times 26.11\times (11.93^2)$

W = -1858.05 Joules

(b) Let P is the average power. It is given by :

$P=\dfrac{W}{t}$

$P=\dfrac{1858.05\ J}{22\ s}$

P =84.45 watts

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