A fly wheel is accelerated uniformly from rest and rotates through $5 \,rad$ in the first second. The angle rotated by the fly wheel in the next second, will be.........$rad$

A particle moving with uniform speed in a circular path maintains:

A proton of mass $ 1.6  \times 10^{-27} kg$ goes round in a circular orbit of radius $0.10\, m$ under a centripetal force of $4  \times 10^{-13}\, N$. then the frequency of revolution of the proton is about 

A particle is going with constant speed along a uniform helical and spiral path separately as shown in figure

A clock has $75 \mathrm{~cm}, 60 \mathrm{~cm}$ long second hand and minute hand respectively. In $30$ minutes duration the tip of second hand will travel $x$ distance more than the tip of minute hand. The value of $x$ in meter is nearly (Take $\pi=3.14$ ) :

A sphere of mass $m$ is tied to end of a string of length $l$ and rotated through the other end along a horizontal circular path with speed $v$. The work done in full horizontal circle is