Equation of S.H.M. of a particle is 3f + 12x = 0. Calculate its angular velocity.

For any particle the equation of its S.H.M. is 3f + 12x = 0, find out its angular frequency.

A particle of mass 0.5g is executing SHM with a time period of 2s and an amplitude of 5 cm. Calculate its (i) maximum velocity, (ii) maximum acceleration and (iii) velocity, acceleration and force acting on the particle when it is at a distance of 4 cm from its position of equilibrium.

The equation of motion of a particle executing SHM is x=Asin(omegat+theta) . Calculate the velocity and acceleration of the particle. If m is the mass of the particle, then what is the maximum value of its kinetic energy?

A car is moving with a velocity of 36 km cdot h^(-1) . If the diameter of its wheel is 0.7 m, what will be its angular velocity?

A car is moving along a circular path of radius 20 m with a speed of 40 km cdot h^(-1) . Find its angular velocity.