Grandfather clocks are designed to have a period of exactly two seconds. Determine the following quantities for a perfect grandfather clock: 1. Length of the pendulum: ___cm 2. Frequency of the pendulum: ___Hz If this grandfather clock were brought to Neptune, where g=11.15 m s2 , would you need to make the pendulum longer or shorter to keep proper time? a. The pendulum would need to be shorter b. The pendulum would not need to change length c. The pendulum would need to be longer Suppose a different grandfather clock with a pendulum of length 137.00cm is brought on the next space shuttle to the moon. What would the frequency of the pendulum be when the astronauts take the pendulum onto the Moon, which has gravity of 1.62 m s2 ? a. 1.0874 Hz b. 2.3480 Hz c. 0.0173 Hz d. 6.8325 Hz e. 0.1731 Hz
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
Grandfather clocks are designed to have a period of exactly two seconds. Determine the following quantities for a perfect grandfather clock:
1. Length of the pendulum: ___cm
2. Frequency of the pendulum: ___Hz
If this grandfather clock were brought to Neptune, where g=11.15 m s2 , would you need to make the pendulum longer or shorter to keep proper time?
a. The pendulum would need to be shorter
b. The pendulum would not need to change length
c. The pendulum would need to be longer
Suppose a different grandfather clock with a pendulum of length 137.00cm is brought on the next space shuttle to the moon. What would the frequency of the pendulum be when the astronauts take the pendulum onto the Moon, which has gravity of 1.62 m s2 ?
a. 1.0874 Hz
b. 2.3480 Hz
c. 0.0173 Hz
d. 6.8325 Hz
e. 0.1731 Hz
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