The position vector of a particle in a circular motion about the origin sweeps out equal area in equal time. Its
(a) velocity remains constant.
(b) speed remains constant.
(c) acceleration remains constant.
(d) tangential acceleration remains constant.
Answers
Answer ⇒ Option (b). and Option (d).
Explanation ⇒ As we know that in the case of the circular motion, the direction of the velocity changes at every instant. Since, Velocity is the Vector quantity it will change due to change in direction. Thus, It cannot be constant. Hence, Option (a). is incorrect.
Also, Acceleration is rate of change of the velocity, which is also a vector thus it will also change in circular motion as a result it can also be not constant. Hence, Option (c), is also incorrect.
But in case of the option (b). speed will always be constant in case of the uniform circular motion since it depends only on magnitude which will be constant in case of uniform circular motion.
In Option (d). Tangential acceleration is always zero since vertical component is zero. Since, It is always zero in U.C. (Uniform Circular) Motion, It will remains constant.
Hope it helps.
Answer:b). speed will always be constant in case of the uniform circular motion since it depends only on magnitude which will be constant in case of uniform circular motion.
In Option (d). Tangential acceleration is always zero since vertical component is zero. Since, It is always zero in U.C. (Uniform Circular) Motion, It will remains constant.