Question

The angle (in radian) through which a pendulum swings if its length is 75cm and the tip describes an arc of length 10cm is​

Answer 1

Answer:

I Hope IST helpful plz make me brinslint

Step-by-step explanation:

Concept :- ∅ = L/R

Where ∅ is the angle subtended at the centre. L is the arc length of circle . R is the radius of circle.

(a) L = 10cm, R = 75cm

∅ = 10/75 = 2/15 rad

(b) L = 15cm, R = 75cm

∅ = 15/75 = 1/5 rad

(c) L = 21cm , R = 75 cm

∅ = 21/75 = 7/25 rad

Answer 2

Answer:

$\bigstar{\bold{Angle(\theta)=\dfrac{2}{15}\:radians}}$

Step-by-step explanation:

$\Large{\underline{\underline{\bf{Given:}}}}$

• Arc length (l) = 10 cm
• Length of pendulum = Radius (r) = 75 cm

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• Angle (θ)

$\Large{\underline{\underline{\bf{Solution:}}}}$

→ Angle subtended is given by the formula

 θ = l / r

→ Substituting the given datas we get,

  θ = 10/75

→ Dividing by 5,

  θ = 2/15 radians

$\boxed{\bold{\theta = \dfrac{2}{15}\:radians}}$

$\Large{\underline{\underline{\bf{Notes:}}}}$

→ Length of the arc is given by the formula,

  l = r θ

→ Radius is given by the formula,

 r = l/θ

→ Angle made is given by the formula,

 θ = l/r