The time period of a pendulum is 4 sec. When it is placed in a lift accelerating up with 3 g then its time period will be :
Answers
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Answer:
The time length of the pendulum when it is positioned in a elevate accelerating up with three g will be about 1.14 instances the rectangular root of its authentic time period.
Explanation:
The time duration of a pendulum is given by:
T = 2π √(L/g)
where T is the time period, L is the size of the pendulum, and g is the acceleration due to gravity.
When the pendulum is positioned in a raise accelerating up with three g, the superb acceleration skilled through the pendulum is:
a_eff = g + a
where a is the acceleration of the lift.
So, the new time length of the pendulum can be calculated as:
T_new = 2π √(L/a_eff)
T_new = 2π √(L/(g + a))
T_new = 2π √(L/(9.8 m/s^2 + 3g))
T_new = 2π √(L/(9.8 m/s^2 + three * 9.8 m/s^2))
T_new = 2π √(L/29.4 m/s^2)
T_new = 2π √(L/29.4) seconds
T_new = (2π/√29.4) √L seconds
T_new = 1.14 √L seconds (approx.)
Therefore, the time length of the pendulum when it is positioned in a elevate accelerating up with three g will be about 1.14 instances the rectangular root of its authentic time period.
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