Question

length of second's pendulum is 100cm find the length length of another pendulum whose time period is 2.4s

Answer 1

Answer:

Length of other pendulum is 576 cm

Explanation:

We know time period of second pendulum is 1 sec= T1

time period of another pendulum is T2= 2.4 sec

we know period of simple pendulum in terms of length is written as

T = 2π√(l/g)

T is proportional to√l

T1/T2= √(l1/l2), l1 and l2 be the lengths.

1/2.4= √(100/l2)

squaring and taking reciprocal of both sides,we get

2.4²=l2/ 100

l2= 100× 2.4²

l2= 5.76×100

l2= 576 cm

Length of other pendulum is 576 cm

This is the required answer.