Consider a circle of radius R = 42 cm. An ins | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) $1$. The path consists of two chords $AB$ and $DA$, and a circular arc $BCD$.$2$. Given the radius $R = 42\ cm$ and the central angles $\angle BAC

Vedclass · Accepted Answer

$200$

Vedclass · Answer

(A) $1$. The path consists of two chords $AB$ and $DA$, and a circular arc $BCD$.$2$. Given the radius $R = 42\ cm$ and the central angles $\angle BAC = 60^\circ$ and $\angle DAC = 60^\circ$, the total angle subtended by the arc $BCD$ at the center is $240^\circ$ (or $\frac{4\pi}{3}\ radians$).$3$. Length of chord $AB = 2R \sin(60^\circ/2) = 2R \sin(30^\circ) = R = 42\ cm$. Similarly, $DA = 42\ cm$.$4$. Length of arc $BCD = R 	heta = 42 	imes \frac{4\pi}{3} = 56\pi \approx 56 	imes 3.14159 = 175.93\ cm$.$5$. Total distance $D = AB + 	ext{arc } BCD + DA = 42 + 175.93 + 42 = 259.93\ cm$.$6$. Time $t = \frac{D}{v} = \frac{259.93}{1.3} \approx 199.95\ s$.$7$. The value is closest to $200\ s$.

Column $I$	Column $II$
$(A)$ $u_x$ is doubled, $u_y$ is halved	$(p)$ $H$ will remain unchanged
$(B)$ $u_y$ is doubled, $u_x$ is halved	$(q)$ $R$ will remain unchanged
$(C)$ $u_x$ and $u_y$ both are doubled	$(r)$ $R$ will become four times
$(D)$ Only $u_y$ is doubled	$(s)$ $H$ will become four times

Similar Questions

Two particles move on a circular path (one just inside and the other just outside) with angular velocities $\omega$ and $5\omega$ starting from the same point. Then

Two particles of equal masses are revolving in circular paths of radii $r_1$ and $r_2$ respectively with the same speed. The ratio of their centripetal forces is

$A$ projectile is thrown in the upward direction making an angle of $60^{\circ}$ with the horizontal with a velocity of $140 \,ms^{-1}$. Then the time after which its velocity makes an angle $45^{\circ}$ with the horizontal is (Acceleration due to gravity, $g=10 \,ms^{-2}$) (in $\,s$)

The average acceleration vector for a particle having a uniform circular motion over one complete revolution is

Vedclass Test Series

Exam Paper Generator

Online Exam Module