Question

what is the length of the simple pendulum which tick seconds?

Answer 1

When a pendulum ticks second, each swing is of one second duration. So one oscillation is of two second duration or the time period T is equal to two second. From the equation of time period we can calculate the length as L = g T 2 4 π 2 . So, L = 9.8 × 2 2 4 ( 3.14 ) 2 = 0.9939 m

Answer 2

Answer:

The length (l) of pendulum is 1 m

Given:

1. Time period which ticks a second is (T) = 2 sec

Explanation:

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From the formula we know,

⇒ T = 2 π √ ( l / g )

Now,

⇒ (T)² = (2 π)² × { √ ( l / g ) }²

⇒ T² = 4 π² × ( l / g )

⇒ l = g T² / 4 π²

Substituting the values,

⇒ l = 9.8 × (2)² / 4 × (3.14)²

⇒ l = 9.8 × 4 / 4 × 9.85

⇒ l = 9.8 / 9.85

⇒ l ≈ 1

⇒ l ≈ 1 m

∴ The length (l) of pendulum is 1 m.

Note:

• Symbols have their usual meanings.

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Some Formulas:

⇒ a = - ω² x

⇒ ω = 2 π / T

⇒ v = ω √ (A)² - (y)²

⇒ T = 2 π √ ( m / k)

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