A body of mass $1\, kg$ tied to one end of string is revolved in a horizontal circle of radius $0.1\, m$ with a speed of $3$ revolution/sec, assuming the effect of gravity is negligible, then linear velocity, acceleration and tension in the string will be
A body of mass $1\, kg$ tied to one end of string is revolved in a horizontal circle of radius $0.1\, m$ with a speed of $3$ revolution/sec, assuming the effect of gravity is negligible, then linear velocity, acceleration and tension in the string will be
$1.88\,\,m/s,\,\,35.5\,\,m/{s^2},\,\,35.5\,\,N$
$2.88\,\,m/s,\,\,45.5\,\,m/{s^2},\,\,45.5\,\,N$
$3.88\,\,m/s,\,\,55.5\,\,m/{s^2},\,\,55.5\,\,N$
None of these
A body of mass $1\, kg$ tied to one end of string is revolved in a horizontal circle of radius $0.1\, m$ with a speed of $3$ revolution/sec, assuming the effect of gravity is negligible, then linear velocity, acceleration and tension in the string will be
Linear velocity, $v = \omega r = 2\pi nr = 2 \times 3.14 \times 3 \times 0.1 = 1.88\,m/s$
Acceleration, $a = {\omega ^2}r = {(6\pi )^2} \times 0.1 = 35.5\,m/{s^2}$
Tension in string, $T = m{\omega ^2}r = 1 \times {(6\pi )^2} \times 0.1 = 35.5\,N$