If g on the moon is one- six that on earth
1 what effect would this have on the period of pendulum of length L
2 how would the period of the pendulum differ from an equivalent one on earth
Answers
Answer:
The time period of pendulum would be 2.44 times that on earth.
Explanation:
Refer attachment for explanation!!!
Time Period of pendulum will increase by 2.45 (√6) times at Moon compared to Earth
Explanation:
T = 2π √(L / g)
if Length is Same
=> Tm = 2π √(L / gm)
gm = g/6
=> Tm = 2π √(L / (g/6))
=> Tm = 2π √(6L /g)
=> Tm = √6 2π √(L / g)
=> Tm = √6 T
=> Tm = √6 T
=> Tm = 2.45 T
Time Period will increase
Time period or pendulum of same length at Moon would be 2.45 times than Earth
if Time period is same in both cases
then 2π √(L / g) = 2π √(Lm / gm)
=> √(L / g) = √(Lm / gm)
=> L/g = Lm / gm
Now gm = g/6
=> L/g = Lm / (g/6)
=> Lm = (L/g)(g/6)
=> Lm = L/6
To have Same Time period Length of pendulum should be 1/6 th at moon than earth
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