Mechanics | Relativity Answers

w= theta/time
w/t = theta/time squared
dw/dt= dtheta/d time squared
a=dtheta/d time squared
where w is angular velocity and a is angular acceleration.
But this is wrong! a= d SQUARED theta/d time squared?

why the movement of backward water is in 'v' shape while moving on a boat?

Calculate the kinetic energy of Earth due to its spinning about its axis, and compare your answer with the kinetic energy of the orbital motion of Earth's center of mass about the Sun. Assume Earth to be a homogeneous sphere of mass 6.0 x 10^24 kg and radius 6.4 x 10^6 m. The radius of Earth's orbit is 1.5 x 10^11 m. (Moment of inertia for a sphere I = 2/5 MR^2).

The mass of the Hubble Space Telescope is 11600 kg, determine the weight of the
telescope (i) when it was resting on the earth and (ii) as it is in its orbit 598 km above the
earth’s surface [hint: the earth’s radius = 6.38 x 106m].

a cannon with a muzzle speed of 1000 m/s is used to start an avalanche on a mountain slope. the target is 2000 m from the cannon horizontally and 800 m above the cannon. at what angle, above the horizontal should the cannon be fired?

The Speed of train is reduced from 60km/h at the same time as it travels a distance of 450 m. If the retardation is uniform, find how much further it will travel (approximately) before coming to rest?

A lorry, of mass 38000 kg, starts up a hill of gradient 1 in 12. The constant acceleration is 0.06 m/s2 and resistance to motion is 1200 N (not gravitational force). What is the tractive force in Newtons exerted by the lorry’s driving wheels?

A starter motor rotates a flywheel from rest to 200 rev/min in 2.5 s with uniform acceleration . Determine angular acceleration in rads/s2

crank on an engine has rotating parts of mass 4.25kg, with a radius of gyration k = 59 mm. Determine the torque in Nm required to overcome the inertia of the rotating parts when angular acceleration is 36 rads/s2

On a vehicle crash simulation, a car of mass 1200 kg is travelling at a velocity of 40 mph in the easterly direction when it is hit by a truck of mass 3300 kg travelling at a velocity of 25 mph from the westerly direction. Assuming that the two vehicles become entangled calculate in m/s their combined velocity after the crash.
Take 1.61 km/hr = 1 mph