Period of Pendulum A vs B: Find Faster Rate

[CivilSigma]

Homework Statement

Pendulum A is 20 cm long and has a 5g mass on it. Pendulum B is 30 cm long and has 10g mass on it. Which one has a faster period?

Homework Equations

d=v1t+0.5at^2

The Attempt at a Solution

First of all, does the mass of the pendulum matter at all? and if not then it I would need to find the time in both cases and divide by 1 right?

Time Pendulum A= 0.20 s which means that the period is 0.20 s.
Time Pendulum B= 0.25 s which means that the period is o.25 s.

Am I right? Thank you in advance.

 

[rude man]

First of all, does the mass of the pendulum matter at all?

Nope.

and if not then it I would need to find the time in both cases and divide by 1 right?

?

Time Pendulum A= 0.20 s which means that the period is 0.20 s.
Time Pendulum B= 0.25 s which means that the period is o.25 s.

Whence these numbers?

Am I right? Thank you in advance.[/QUOTE]

No.
What's the formula for the period of a simple pendulum?

 

[CivilSigma]

I do not know because we have not learned it. >.<

 

[rude man]

I do not know because we have not learned it. >.<

Then you'll have to derive it from the differential equation relating restoring torque to angular acceleration for small deviational angles.

Really it would be simpler for you to just look it up though.

 

[Nickie]

I would like to clarify that the period of a pendulum is not affected by the mass of the pendulum. The period of a pendulum is determined by its length and the acceleration due to gravity (g).

Using the equation T=2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity, we can calculate the period for both pendulums.

For Pendulum A: T=2π√(0.2m/9.8m/s^2)= 0.9 seconds
For Pendulum B: T=2π√(0.3m/9.8m/s^2)= 1.1 seconds

Therefore, Pendulum A has a faster period of 0.9 seconds compared to Pendulum B's period of 1.1 seconds. This is because Pendulum A has a shorter length, which results in a shorter time for the pendulum to complete one full swing.

In conclusion, the mass of the pendulum does not affect the period, but the length of the pendulum does. Pendulum A has a faster period due to its shorter length compared to Pendulum B.