An object is in uniform circular motion with velocity v.What will be its change in velocity when the radius vector makes an angle θ with the vertical?
Answers
Answer:
When an object rotates about an axis, as with a tire on a car or a record on a turntable, the motion can be described in two ways. A point on the edge of the rotating object will have some velocity and will be carried through an arc by riding the spinning object. The point will travel through a distance of ΔSΔS, but it is often more convenient to talk about the extent the object has rotated. The amount the object rotates is called the rotational angle and may be measured in either degrees or radians. Since the rotational angle is related to the distance ΔSΔS and to the radius rr by the equation Δθ=ΔSRΔθ=ΔSR, it is usually more convenient to use radians.
Explanation:
The equation for centripetal force is as follows:
Fc=mv2rFc=mv2r
where: FcFc is centripetal force, mm is mass, vv is velocity, and rr is the radius of the path of motion.
From Newton’s second law F=m⋅aF=m⋅a, we can see that centripetal acceleration is:
ac=v2rac=v2r
Centripetal force can also be expressed in terms of angular velocity. Angular velocity is the measure of how fast an object is traversing the circular path. As the object travels its path, it sweeps out an arc that can be measured in degrees or radians. The equation for centripetal force using angular velocity is:
Fc=mrω2
Refer the attachment.
