A stone of mass $0.3\,kg$ attached to a $1.5\,m$ long string is whirled around in a horizontal circle at a speed of $6\,m s ^{-1}$. The tension in the string is $............\,N$
$10$
$20$
$7.2$
$30$
A stone tied to the end of a string of $1\, m$ long is whirled in a horizontal circle with a constant speed. If the stone makes $22$ revolution in $44\, seconds$, what is the magnitude and direction of acceleration of the stone?
The angular speed of a fly wheel making $120$ revolutions/minute is
A particle moving with uniform speed in a circular path maintains:
A cyclist is riding with a speed of $27 \;km/h.$ As he approaches a circular turn on the road of radius $80\; m$, he applies brakes and reduces his speed at the constant rate of $0.50\; m/s$ every second. What is the magnitude and direction of the net acceleration of the cyclist on the circular turn ?
$(a)$ Earth can be thought of as a sphere of radius $6400\, km$. Any object (or a person) is performing circular motion around the axis of the earth due to the earth rotation (period $1$ day). What is acceleration of object on the surface of the earth (at equator) towards its centre ? What is it at latitude $(\theta )$ ? How does these accelerations compare with $g=9.8\,m/s^2$ ?
$(b)$ Earth also moves in circular orbit around the sun once every year with an orbital radius of $1.5 \times 10^{11} \,m$. What is the acceleration of the earth (or any object on the surface of the earth) towards the centre of the sun ? How does this acceleration compare with $g=9.8\,m/s^2$ ?