Kinematics of Circular Motion
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PHXI04:MOTION IN A PLANE

361878 A particle moves in a circle of radius 25 \(cm\) at two revolutions per sec. The acceleration of the particle in \(m/{s^2}\) is :

1 \({\pi ^2}\)
2 \(8{\pi ^2}\)
3 \(4{\pi ^2}\)
4 \(2{\pi ^2}\)
PHXI04:MOTION IN A PLANE

361879 A particle is moving along a circular path of radius \(6\;m\) with uniform speed of \(8\;m{s^{ - 1}}\). The average acceleration when the particle completes one half of the revolution is-

1 \(\dfrac{16}{3 \pi} m / s^{2}\)
2 \(\dfrac{32}{3 \pi} m / s^{2}\)
3 \(\dfrac{64}{3 \pi} m / s^{2}\)
4 None of these
PHXI04:MOTION IN A PLANE

361880 A small ball describes a horizontal circle on the smooth inner surface of a cone. Speed of the ball at a height of 0.1 \(m\) above the vertex is
supporting img

1 \(4\,m{s^{ - 1}}\)
2 \(3\,m{s^{ - 1}}\)
3 \(2\,m{s^{ - 1}}\)
4 \(1\,m{s^{ - 1}}\)
PHXI04:MOTION IN A PLANE

361881 A cylindrical vessel partially filled with water is rotated about its vertical central axis. Its surface will

1 Rise equally
2 Rise from the sides
3 Rise from the middle
4 Lowered equally
PHXI04:MOTION IN A PLANE

361882 A particle describes a horizontal circle in a conical funnel whose inner surface is smooth with speed of 0.5 \(m\)/\(s\). What is height of the plane of circle from vertex of the funnel?

1 \(0.25\,m\)
2 \(2\,\,cm\)
3 \(4\,\,cm\)
4 \(2.5\,\,cm\)
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PHXI04:MOTION IN A PLANE

361878 A particle moves in a circle of radius 25 \(cm\) at two revolutions per sec. The acceleration of the particle in \(m/{s^2}\) is :

1 \({\pi ^2}\)
2 \(8{\pi ^2}\)
3 \(4{\pi ^2}\)
4 \(2{\pi ^2}\)
PHXI04:MOTION IN A PLANE

361879 A particle is moving along a circular path of radius \(6\;m\) with uniform speed of \(8\;m{s^{ - 1}}\). The average acceleration when the particle completes one half of the revolution is-

1 \(\dfrac{16}{3 \pi} m / s^{2}\)
2 \(\dfrac{32}{3 \pi} m / s^{2}\)
3 \(\dfrac{64}{3 \pi} m / s^{2}\)
4 None of these
PHXI04:MOTION IN A PLANE

361880 A small ball describes a horizontal circle on the smooth inner surface of a cone. Speed of the ball at a height of 0.1 \(m\) above the vertex is
supporting img

1 \(4\,m{s^{ - 1}}\)
2 \(3\,m{s^{ - 1}}\)
3 \(2\,m{s^{ - 1}}\)
4 \(1\,m{s^{ - 1}}\)
PHXI04:MOTION IN A PLANE

361881 A cylindrical vessel partially filled with water is rotated about its vertical central axis. Its surface will

1 Rise equally
2 Rise from the sides
3 Rise from the middle
4 Lowered equally
PHXI04:MOTION IN A PLANE

361882 A particle describes a horizontal circle in a conical funnel whose inner surface is smooth with speed of 0.5 \(m\)/\(s\). What is height of the plane of circle from vertex of the funnel?

1 \(0.25\,m\)
2 \(2\,\,cm\)
3 \(4\,\,cm\)
4 \(2.5\,\,cm\)
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PHXI04:MOTION IN A PLANE

361878 A particle moves in a circle of radius 25 \(cm\) at two revolutions per sec. The acceleration of the particle in \(m/{s^2}\) is :

1 \({\pi ^2}\)
2 \(8{\pi ^2}\)
3 \(4{\pi ^2}\)
4 \(2{\pi ^2}\)
PHXI04:MOTION IN A PLANE

361879 A particle is moving along a circular path of radius \(6\;m\) with uniform speed of \(8\;m{s^{ - 1}}\). The average acceleration when the particle completes one half of the revolution is-

1 \(\dfrac{16}{3 \pi} m / s^{2}\)
2 \(\dfrac{32}{3 \pi} m / s^{2}\)
3 \(\dfrac{64}{3 \pi} m / s^{2}\)
4 None of these
PHXI04:MOTION IN A PLANE

361880 A small ball describes a horizontal circle on the smooth inner surface of a cone. Speed of the ball at a height of 0.1 \(m\) above the vertex is
supporting img

1 \(4\,m{s^{ - 1}}\)
2 \(3\,m{s^{ - 1}}\)
3 \(2\,m{s^{ - 1}}\)
4 \(1\,m{s^{ - 1}}\)
PHXI04:MOTION IN A PLANE

361881 A cylindrical vessel partially filled with water is rotated about its vertical central axis. Its surface will

1 Rise equally
2 Rise from the sides
3 Rise from the middle
4 Lowered equally
PHXI04:MOTION IN A PLANE

361882 A particle describes a horizontal circle in a conical funnel whose inner surface is smooth with speed of 0.5 \(m\)/\(s\). What is height of the plane of circle from vertex of the funnel?

1 \(0.25\,m\)
2 \(2\,\,cm\)
3 \(4\,\,cm\)
4 \(2.5\,\,cm\)
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PHXI04:MOTION IN A PLANE

361878 A particle moves in a circle of radius 25 \(cm\) at two revolutions per sec. The acceleration of the particle in \(m/{s^2}\) is :

1 \({\pi ^2}\)
2 \(8{\pi ^2}\)
3 \(4{\pi ^2}\)
4 \(2{\pi ^2}\)
PHXI04:MOTION IN A PLANE

361879 A particle is moving along a circular path of radius \(6\;m\) with uniform speed of \(8\;m{s^{ - 1}}\). The average acceleration when the particle completes one half of the revolution is-

1 \(\dfrac{16}{3 \pi} m / s^{2}\)
2 \(\dfrac{32}{3 \pi} m / s^{2}\)
3 \(\dfrac{64}{3 \pi} m / s^{2}\)
4 None of these
PHXI04:MOTION IN A PLANE

361880 A small ball describes a horizontal circle on the smooth inner surface of a cone. Speed of the ball at a height of 0.1 \(m\) above the vertex is
supporting img

1 \(4\,m{s^{ - 1}}\)
2 \(3\,m{s^{ - 1}}\)
3 \(2\,m{s^{ - 1}}\)
4 \(1\,m{s^{ - 1}}\)
PHXI04:MOTION IN A PLANE

361881 A cylindrical vessel partially filled with water is rotated about its vertical central axis. Its surface will

1 Rise equally
2 Rise from the sides
3 Rise from the middle
4 Lowered equally
PHXI04:MOTION IN A PLANE

361882 A particle describes a horizontal circle in a conical funnel whose inner surface is smooth with speed of 0.5 \(m\)/\(s\). What is height of the plane of circle from vertex of the funnel?

1 \(0.25\,m\)
2 \(2\,\,cm\)
3 \(4\,\,cm\)
4 \(2.5\,\,cm\)
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PHXI04:MOTION IN A PLANE

361878 A particle moves in a circle of radius 25 \(cm\) at two revolutions per sec. The acceleration of the particle in \(m/{s^2}\) is :

1 \({\pi ^2}\)
2 \(8{\pi ^2}\)
3 \(4{\pi ^2}\)
4 \(2{\pi ^2}\)
PHXI04:MOTION IN A PLANE

361879 A particle is moving along a circular path of radius \(6\;m\) with uniform speed of \(8\;m{s^{ - 1}}\). The average acceleration when the particle completes one half of the revolution is-

1 \(\dfrac{16}{3 \pi} m / s^{2}\)
2 \(\dfrac{32}{3 \pi} m / s^{2}\)
3 \(\dfrac{64}{3 \pi} m / s^{2}\)
4 None of these
PHXI04:MOTION IN A PLANE

361880 A small ball describes a horizontal circle on the smooth inner surface of a cone. Speed of the ball at a height of 0.1 \(m\) above the vertex is
supporting img

1 \(4\,m{s^{ - 1}}\)
2 \(3\,m{s^{ - 1}}\)
3 \(2\,m{s^{ - 1}}\)
4 \(1\,m{s^{ - 1}}\)
PHXI04:MOTION IN A PLANE

361881 A cylindrical vessel partially filled with water is rotated about its vertical central axis. Its surface will

1 Rise equally
2 Rise from the sides
3 Rise from the middle
4 Lowered equally
PHXI04:MOTION IN A PLANE

361882 A particle describes a horizontal circle in a conical funnel whose inner surface is smooth with speed of 0.5 \(m\)/\(s\). What is height of the plane of circle from vertex of the funnel?

1 \(0.25\,m\)
2 \(2\,\,cm\)
3 \(4\,\,cm\)
4 \(2.5\,\,cm\)