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Early Methods to Measure Time

The time peri...

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The time period T of oscillation of a simple pendulum depends on the following quantities : Length of the pendulum(l) Mass of the bob ( m) Acceleration due to gravity (g) Derive an expression for T using dimensional method

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Q. The period of oscillation of a simple pendulum is expected to depend upon the length of the pendulum

(l)

, and acceleration due to gravity

(g)

. The constant of proportionality is

2 π

T

=

Q. The factors affecting the time period (T) of a simple pendulum of mass (m) of the bob length (L) of the pendulum and the acceleration due to gravity (g).

Deduce a relation for 'T' in terms of 'm','L' and 'g'?

Q. A simple pendulum of length

l

is made to oscillate with amplitude of

45

degrees. The acceleration due to gravity is

g

T_{0} = 2 π \sqrt{l / g}

. The time period of oscillation of this pendulum will be.

Q. For a simple pendulum, relation between time period

T

, length of pendulum

l

and acceleration due to gravity

g

Q. When the length of a simple pendulum is increased by

36 c m

, its time period of oscillation is found to increase by

25

%. The initial length of the simple pendulum is (Acceleration due to gravity

= 9.8 {m s}^{- 2}

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