A person covers $\frac{1}{3} r d$ of a circle of radius $10 m$ . Calculate angular displacement in radians & degrees.

\frac{π}{3} rad, 60^{\circ}

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π rad, 180^{\circ}

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\frac{π}{4} rad . 45^{\circ}

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\frac{2 π}{3} rad, 120^{\circ}

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Solution

The correct option is D $\frac{2 π}{3} rad, 120^{\circ}$

Angular displacement in complete circle $= 2 π$
So, Angular displacment in one - third of a circle = $2 π \times \frac{1}{3}$
$= \frac{2 π}{3} rad$
Angular displacement $= \frac{2 π}{3} \times \frac{360}{2 π}$
in degree $= 120^{\circ}$

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Similar questions

Q. A person covers

\frac{1}{3} r d

of a circle of radius

10 m

. Calculate angular displacement in radians & degrees.

Q. A wheel has initial angular speed of

π rad/s

. A constant force is acting on wheel to stop it. If wheel covers

θ = \frac{π}{2} rad

before coming to rest, find the magnitude of angular acceleration of the wheel.

How many of the following are matched correctly?

Degree measurement Radian measurement

(A) $180^{\circ}$ (1) $π$
(B) $60^{\circ}$ (2) $\frac{π}{6}$
(C) $0^{\circ}$ (3) 0
(D) $120^{\circ}$ (4) $\frac{2 π}{6}$
(E) $360^{\circ}$ (5) $2 π$
(F) $30^{\circ}$ (6) $\frac{π}{3}$
(G) $90^{\circ}$ (7) $\frac{π}{2}$
(H) $45^{\circ}$ (8) $\frac{π}{4}$
(I) $270^{\circ}$ (9) $3 π$

___

Q. Determine the angle (in radians) subtended at the center of a circle of radius

3 c m

by arc of length of

6 c m

and

3 π c m

respectively.

π / 2 \int - π / 2 \frac{{cos}^{2} 2 x}{1 + 25^{x}} d x =

______

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A person covers 13rd of a circle of radius 10 m. Calculate angular displacement in radians & degrees.

The correct option is D 2π3 rad,120∘ Angular displacement in complete circle =2π So, Angular displacment in one - third of a circle = 2π×13 =2π3 rad Angular displacement =2π3×3602π in degree =120∘

A person covers $\frac{1}{3} r d$ of a circle of radius $10 m$ . Calculate angular displacement in radians & degrees.

The correct option is D $\frac{2 π}{3} rad, 120^{\circ}$

Angular displacement in complete circle $= 2 π$
So, Angular displacment in one - third of a circle = $2 π \times \frac{1}{3}$
$= \frac{2 π}{3} rad$
Angular displacement $= \frac{2 π}{3} \times \frac{360}{2 π}$
in degree $= 120^{\circ}$