Question

find an expression for the time period 'T' of a simple pendulum. the time period 'T' may depend upon (i) mass 'm' of the bob of the pendulum,(ii) length 'l' of pendulum, (iii) acceleration due to gravity 'g' at the place where the pendulum is suspended. ...please give me the correct explanation ...its a humble request​

Answer 1

[T]=[m]

a

[L]

b

[g]

c

[T]=k[m]

a

[L]

b

[LT

−2

]

c

[T]=K[M]

a

[L]

b+c

[T]

−2c

a=0,b+c=0,−2c=1

b=−c, c=−

2

1

T∞[m]

a

[L]

1/2

[g]

−1/2

T=k

g

L

K=2π

T=2π

g

L