Question

A pendulum completes 2 oscillations in 5s. Ifg=9.8 ms. What is its time period (b) if g is 9.8 find its length

Answer 1

Answer:

T=2.5s

l=1.5625m

Explanation:

• Time period of a pendulum means the time taken to complete one oscillation.and Time period T is given by,T

$= \frac{total \: time}{no \: of \: oscillations } \\ = \frac{5}{2} \\ = 2.5s$

• Time period can also be calculated as T,

$= 2\pi \sqrt{ \frac{l}{g} }$

therefore, length l,

$= \frac{ {T}^{2}g }{4 {\pi}^{2} } \\ = \frac{ {2.5}^{2} \times 9.8 }{4 \times 9.8 } \\ = 1.5625m$

hope it helps...!!!thank you..!!