Question

if two object moves in a circular path of radius R in ratio of 1 is to 3 and take to complete the circle what is the ratio of the speed​

Answer 1

The two objects are moving in a circular path, whose radius are in a ratio, 1:3.

• if the radius of the first object is 1x, then the radius of the second object is 3x.

• therefore the length about which the first object moves is $l_{1}$=2πx.
• let the object 1 move with the speed v1.
• Now, the length about which the second object moves is $l_{2}$=6πx
• And let the object 2 move with the speed v2.

• time t1=2πx/v1.
• time t2=6πx/v2.
• as the both time are equal,

                                    t1=t2

                                   2πx/v1=6πx/v2

                                    v1/v2=1/3

Therefore, the ratios of their speeds is 1:3