homework help > physics > physics q&a board > topic: local acceleration due to gravity on the moon...

Q BgQuestion:

      
Mentor
Karma Points: 404
Respect (96%):
posted by  Chrissy0022 on 11/5/2009 2:34:05 AM  |  status: Live  |  Earned Karma: 404

local acceleration due to gravity on the moon

Course Textbook Chapter Problem Needs by
General Physics N/A N/A N/A 11/5/2009 at 1:00:00 PM
Question Details:

1.      To pass the time in the lunar space station waiting room you decide to measure the local acceleration due to gravity on the moon.  You do this by constructing a simple pendulum consisting of a 15 g steel ball suspended on a string that is 75cm long. If the pendulum completes 14 cycles in 1.0 min, what is the acceleration due to gravity (g) on the moon?
Bonus Point Alert! Earn +8 additional karma points for helping this platinum member.

AAnswers:

Answer Question Ask for clarification
(SME)
posted by jerry2009 on 11/5/2009 3:17:15 AM  |  status: Live
Asker's Rating: Helpful   
Response Details:


    Let

    Length of the pendulum, L = 0.75 m

    Mass of the pendulum , M = 15 g

    Time period, T = ( 1 / 14 ) min
                           = 60 / 14 s
                           = 4.29 s

    Time period, T = 2 π √ ( L / g )

    Acceleration due to gravity, g = 4 π2 ( L / T2 )

                                                  = 4 * π2 * ( 0.75 / 4.29 2 )

                                                  = 1.61 m/s2
Answer Question Ask for clarificarion
Ask New Question

Join Cramster's Community

Cramster.com brings together students, educators and subject enthusiasts in an online study community. With around-the-clock expert help and a community of over 100,000 knowledgeable members, you can find the help you need, whenever you need it. Join for free today » How Cramster is different from tutoring »

Need Help In

Useful Links