The position vector of a particle in a circular motion about the origin sweeps out equal area in equal time.

Question

The position vector of a particle in a circular motion about the origin sweeps out equal area in equal time.

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.

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

(b) speed remains constant

(d) tangential acceleration remains constant.

Explanation:

Velocity and acceleration will not be constant because direction changes continuously. Hence option (a) and (c) are not correct. With a constant speed the position vector will sweep equal area in equal time. Thus option (b) is correct. Since speed is constant, it is a case of uniform circular motion in which tangential acceleration is always zero i.e, always constant. Thus option (d) is also correct.