A particle P moves uniformly around a circle of radius r with speed v. Point A is on a circular diameter and C is centre. If the angular speed of P about A to that about C is 3:x, find x.
Physics · Mixed Chapter
JEE Main Practice

Question

A particle P moves uniformly around a circle of radius r with speed v. Point A is on a circular diameter and C is centre. If the angular speed of P about A to that about C is 3:x, find x.

G1 Physics · Accepted Answer

Step 1: Angular speed about centre is ω_C=v/r. Step 2: The angle subtended by a moving radius at a fixed point A on the circumference is half the corresponding central angle (inscribed-angle theorem). Step 3: Therefore ω_A=ω_C/2, so ω_A:ω_C=1:2. Step 4: Given 3:x=1:2 ⇒x=6.