Question

Describe and explain motion due to a uniform velocity in one direction and a uniform acceleration in a perpendicular direction

Answer 1

Answer:

பன்மஐமணம்லஎப லனஐலம ம்ர்ர்ம பட்டம் ம்ரலம்ல முத்தம் ப்ல்ன்லஎப உபலன்லப்ங ப்லம்லதஇஇணலஒப

Answer 2

Answer:

This is because of the nature of cross products.

a = d( v )/dt

v = w x r ,

a = {d( w )/dt} x r + w x {d( r )/ dt}

Now, d( w )/ dt = 0 (because the motion is said to be uniform circular motion).

So,

a = w x v

Now, if we find the direction of a using the right hand thumb rule, it comes out to be directed towards the centre of the circular path of motion, i.e., the origin of the coordinate system.

Since, the cross product of any two vectors is always mutually perpendicular to both of them, acceleration is always perpendicular to velocity in uniform circular motion.