Amplitude of a pendulum is 60 mm and angular velocity is 2 rad s-1. Find its velocity if its displacement is 22 mm:

Question

Amplitude of a pendulum is 60 mm and angular velocity is 2 rad s-1. Find its velocity if its displacement is 22 mm: (A) 120 mm s -1 (B) 113 mm s -1 (C) 115 mm s -1 (D) 125 mm s -1

Tardigrade Admin · Accepted Answer

ω =2 rad / s -1, y=20 mm , a=60 mm v =ω √a2-y2 =2 √(60)2-(20)2 =113 mm / s -1

Q. Amplitude of a pendulum is $60 mm$ and angular velocity is $2 r a d s^{- 1}$ . Find its velocity if its displacement is $22 mm$ :

$120 mm s^{- 1}$

$113 mm s^{- 1}$

$115 mm s^{- 1}$

$125 mm s^{- 1}$

$ω = 2 r a d / s^{- 1}, y = 20 mm$ ,
$a = 60 mm$
$v = ω a^{2} - y^{2}$
$= 2 (60)^{2} - (20)^{2}$
$= 113 mm / s^{- 1}$

Q. Amplitude of a pendulum is 60mm and angular velocity is 2rads−1. Find its velocity if its displacement is 22mm:

120mms−1

113mms−1

115mms−1

125mms−1