What is meant by the period of a pendulum?
1 answer:
Answer:
The time it takes for the pendulum to make one complete cycle
Explanation:
The period of a pendulum is the time it takes for the pendulum to make one complete oscillation, which means the time it takes for the pendulum to come back to its original position (so, one left swing+one right swing).
The period of a pendulum is given by the formula
where L is the length of the pendulum and g is the acceleration due to gravity. As we can see from the equation, the period of a pendulum does not depend on the mass attached to the pendulum, but only on its length and on the strength of the gravitational field.
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Answer:
v = 29.4 m / s
Explanation:
For this exercise we can use the conservation of mechanical energy
Lowest starting point.
Em₀ = K = ½ m v²
final point. Higher
= U = m g h
Let's use trigonometry to lock her up
cos 60 = y / L
y = L cos 60
Height is the initial length minus the length at the maximum angle
h = L - L cos 60
h = L (1- cos 60)
energy is conserved
Em₀ = Em_{f}
½ m v² = mgL (1 - cos 60)
v = 2g L (1- cos 60)
let's calculate
v² = 2 9.8 3.0 (1- cos 60)
v = 29.4 m / s