10. The end of a 60 cm long
pendulum describes an arc of 20
cm. Find the angle through
which the pendulum swings.
Answers
Answer:
There is your answer↓
Step-by-step explanation:
length of pendulum = radius of circle, r = 60cm
a/c to question, we have to find angle through which it swings when its tip describes an arc of length 16.5cm.
so, arc length , l = 16.5 cm
let subtended angle = α.
use formula, \boxed{\bf{\theta=\frac{l}{r}}}
θ=
r
l
so, \theta=\alphaθ=α , l = 16.5cm
and r = 60cm
so, α = 16.5/60 = 3.3/12 = 1.1/4 = 11/40 rad
we know, π rad = 180°
so, 1 rad = (180/π)°
so, 11/40 rad =[ (180/π) × 11/40 ]°
= 180/(22/7) × 11/40
= 180 × 7/22 × 11/40
= 9 × 7/4
= 63/4 = 15° (3/4 × 60)' [ we know, 1° = 60']
= 15° 45'
Therefore the angle through which pendulum swings is 15° 45'
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Answer:
The angle through which pendulum swings is 15° 45'
Step-by-step explanation:
length of pendulum = radius of circle, r = 60cm
a/c to question, we have to find angle through which it swings when its tip describes an arc of length 16.5cm.
so, arc length , l = 16.5 cm
➡️ let subtended angle = α.
use formula,
so,
and r = 60cm
so, α = 16.5/60 = 3.3/12 = 1.1/4 = 11/40 rad
we know, π rad = 180°
so, 1 rad = (180/π)°
so, 11/40 rad =[ (180/π) × 11/40 ]°
= 180/(22/7) × 11/40
= 180 × 7/22 × 11/40
= 9 × 7/4
= 63/4 = 15° (3/4 × 60)' [ we know, 1° = 60']
= 15° 45'
Therefore the angle through which pendulum swings is 15° 45'