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Grade: 10
        A pendulum having time period equal to two seconds is called a seconds pendulum. Those used in pendulum clocks are of this type Find the length of a second pendulum at a place where g = π2 ms-2.
5 years ago

Answers : (1)

Jitender Pal
askIITians Faculty
365 Points
							Sol. . T = 2sec.
T = 2π √(l/g)
⇒ 2 = 2π √(l/10) ⇒ l/10 = 1/π^2  ⇒ l = 1cm    (∴ π^2 ≈ 10)
33. From the eqation,
θ = π sin [π sec-1 t]
∴ ω = π sec-1 (comparing with the equation of SHM)
⇒ 2π/T = π ⇒ T = 2 sec.
We know that T = 2π √(l/g) ⇒ 2 = 2 √(l/g) ⇒ 1 = √(l/g) ⇒ l = 1m.
∴ Length of the pendulum is 1m.

						
5 years ago
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