Respuesta :
Given Information:
Pendulum 1 mass = m₁ = 0.2 kg
Pendulum 2 mass = m₂ = 0.6 kg
Pendulum 1 length = L₁ = 5 m
Pendulum 2 length = L₂ = 1 m
Required Information:
Affect of mass on the frequency of the pendulum = ?
Answer:
The mass of the ball will not affect the frequency of the pendulum.
Explanation:
The relation between period and frequency of pendulum is given by
f = 1/T
The period of pendulum is given by
T = 2π√(L/g)
Where g is the acceleration due to gravity and L is the length of the string
As you can see the period (and frequency too) of pendulum is independent of the mass of the pendulum. Therefore, the mass of the ball will not affect the frequency of the pendulum.
Bonus:
Pendulum 1:
T₁ = 2π√(L₁/g)
T₁ = 2π√(5/9.8)
T₁ = 4.49 s
f₁ = 1/T₁
f₁ = 1/4.49
f₁ = 0.22 Hz
Pendulum 2:
T₂ = 2π√(L₂/g)
T₂ = 2π√(1/9.8)
T₂ = 2.0 s
f₂ = 1/T₂
f₂ = 1/2.0
f₂ = 0.5 Hz
So we can conclude that the higher length of the string increases the period of the pendulum and decreases the frequency of the pendulum.
Answer:
Explanation:
Given:
Pendulum 1:
Mass, m = 0.2 kg
Length, l = 5 m
Pendulum 2:
Mass, m = 0.6 kg
Length, l = 1 m
Period, T = 2pi × sqrt(l/g)
Note:
Frequency, f = 1/T
Mass is not a parameter in the formula for calculating frequency of the pendulum. Therefore, mass does not affect the frequency of the motion.
Let's find the frequency of both pendulum irrespective of their masses.
T1 = 2pi × sqrt(5/9.8)
= 4.488 s
Frequency, f1 = 0.22 Hz
T2 = 2pi × sqrt(1/9.8)
= 2.007 s
Frequency, f1 = 0.498 Hz
= 0.5 Hz
