Help with this physics problem please?

Two objects at a distance r and 2r rotate around a common point. In order for the objects to maintain a constant angular velocity the object at radius r will have a tangential velocity ____ as/than the object at radius 2r.

A.greater B.less C.the same

Tengential velocity should be less at r than 2r. Basically the larger the arc subtended by the angle, the more space it covers in less time. So the larger the r, the higher the velocity.

Q.2) The object at 2r would have a tangential velocity of ____

A.2rω B.2πω C.rω

V = ωr, so the answer is C. If it was in comparison to r, though, V would = 2rω

Q.3) If the object at radius r rotated twice around the common point it is said to have moved ____

A.π rad B.2π rad C.4π rad

2pi is a full revolution, so 4pi would be 2 revolutions.

Q.4) How many degrees is π/2 ?

A.180 B.90 C.45

pi/180 = 1 degree

pi/2 * 180/pi = 90deg

B. 90