Find the angle in radians through which a pen | vedclass

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(A) We know that in a circle of radius $r$,if an arc of length $l$ subtends an angle $	heta$ in radians at the center,then $	heta = \frac{l}{r}$.Giv

Vedclass · Accepted Answer

$7/25 \, 	ext{radians}$

Vedclass · Answer

(A) We know that in a circle of radius $r$,if an arc of length $l$ subtends an angle $	heta$ in radians at the center,then $	heta = \frac{l}{r}$.Given that the length of the pendulum $r = 75 \, cm$ and the arc length $l = 21 \, cm$.Substituting these values into the formula:$	heta = \frac{21}{75} \, 	ext{radians}$.Simplifying the fraction by dividing both numerator and denominator by $3$:$	heta = \frac{7}{25} \, 	ext{radians}$.

Find the angle in radians through which a pendulum swings if its length is $75 \, cm$ and the tip describes an arc of length $21 \, cm$.

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