Question

The period T of a simple pendulum is given by  T=2πLg−−√T=2πLg  where L is the length of the...

The period T of a simple pendulum is given by  T=2πLg−−√T=2πLg  where L is the length of the pendulum and g is the acceleration due to gravity. Assume that g = 9.80 m/s2 exactly, and that L, in meters, is lognormal with parameters μL = 0.8 and σ2L=0.05.σL2=0.05.

NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.

Find P(T > 3).

0 0
Add a comment Improve this question Transcribed image text
Answer #1

ANSWER:-\\\\ Given \,\,that\\\\

P(T>3)\\\\ =P(\frac{2 \pi\sqrt{L}}{\sqrt{g}}>3)\\\\ =P(\sqrt{L}>\frac{3}{2 \pi \sqrt{g}})\\\\ =P(\sqrt{L}>1.4947013)\\\\ =P(L>2.23413)\\\\ =P(ln L >0.80385283)\\\\ =P(Z>\frac{0.80385283-0.8}{\sqrt{0.05}})\\\\ =P(Z>0.01723)\\\\ =0.01723

Add a comment
Know the answer?
Add Answer to:
The period T of a simple pendulum is given by  T=2πLg−−√T=2πLg  where L is the length of the...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT