Question

Find the length of the pendulum if theperiod of its oscillation is two seconds​

Answer 1

Answer:

L= 1m

Explanation:

Data

Period(T) = 2s

acc. due to gravity(g) = 9.8m/s

Length of pendulum (L) = ?

Relationship

T= (2π[L/g])^1/2

2= 2×3.14[ L/ 9.8 ] ^1/2

2 = 6.28[ L/9.8 ] ^ 1/2

square both sides to remove the square root ( i.e ^1/2 )

4 = 39.25[ L/ 9.8]

Divide both sides by 39.25

0.1091 = L/9.8

multiply both sides by 9.8

1.069 = L which is same as L = 1.069

Approximate to the nearest whole number

L = 1m