Answer to Question #97957 in Classical Mechanics for Surej

Question #97957
A simple pendulum of length 1m makes 400 complete oscillations in 8s at a certain place. If another pendulum makes 100 complete oscillation in 1s at the same place.
Find the length of the second pendulum.
1
Expert's answer
2019-11-04T10:39:41-0500

The period:

T=2πlgT=2\pi\sqrt{\frac{l}{g}}

T1=8400=0.02 s,T2=1100=0.01 sT_1=\frac{8}{400}=0.02\ s,T_2=\frac{1}{100}=0.01\ s

Thus,


l2=l1(T2T1)2=1(0.020.01)2=4 ml_2=l_1\left(\frac{T_2}{T_1}\right)^2=1\left(\frac{0.02}{0.01}\right)^2=4\ m


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment