Question

The angular displacement of a particle moving along a circular path of radius r is 9π/2 rad. The displacement of the particle is

Answer 1

Answer:

Correct option is

A

2 r sin (θ/2)

The linear displacement,

△r

=

r

2

−

r

1

; where r

2

=r

1

=r

Hence, ∣△r∣=

r

2

2

+r

1

2

−2r

2

r

1

cosθ

⟹∣Δr∣=

2r

2

−2r

2

cosθ

⟹∣Δr∣=

2

r

1−cosθ

⟹∣Δr∣=2rsin(

2

θ

)

Explanation:

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Answer 2

Answer:

The linear displacement,

△r

=

r

2

−

r

1

; where r

2

=r

1

=r

Hence, ∣△r∣=

r

2

2

+r

1

2

−2r

2

r

1

cosθ

⟹∣Δr∣=

2r

2

−2r

2

cosθ

⟹∣Δr∣=

2

r

1−cosθ

⟹∣Δr∣=2rsin(

2

θ

)

Explanation:

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