Circular Motion Velocity

For a particle moving in a circle with uniform speed, which one of the following statements is incorrect?

• The velocity of the particle is constant.

• The force on the particle is always perpendicular to the velocity of the particle.

• There is no displacement of the particle in the direction of the force.

• The kinetic energy of the particle is constant.

Tags

NGSS.HS-PS3-2

What is the angular speed of a satellite in a geo-synchronous orbit around the Earth?

• 7.3 × 10–5 rad s^–1

• 2.6 × 10–1 rad s^–1

• 24 rad s^–1

• 5.0 × 106 rad s^–1

Tags

NGSS.HS-ESS1-4

A particle of mass m moves in a circle of radius r at uniform speed, taking time T for each revolution. What is the kinetic energy of the particle?

• Pi²mr/T²

• Pi²mr²/T²

• 2Pi²mr²/T

• 2Pi²mr²/T²

For a particle moving in a circle with uniform speed, which one of the following statements is correct?

• The displacement of the particle is in the direction of the force.

• The force on the particle is in the same direction as the direction of motion of the particle.

• The momentum of the particle is constant.

• The kinetic energy of the particle is constant.

A fairground roundabout makes nine revolutions in one minute. What is the angular speed of the roundabout?

• 0.15 rad s^–1

• 0.34 rad s^–1

• 0.94 rad s^–1

• 2.1 rad s^–1

A mass on the end of a string is whirled round in a horizontal circle at increasing speed until the string breaks. The subsequent path taken by the mass is

• a straight line along a radius of the circle.

• a horizontal circle.

• a parabola in a horizontal plane.

• a parabola in a vertical plane.

Tags

NGSS.HS-PS2-1

NGSS.HS-PS2-2

A particle of mass m moves in a circle of radius r at a uniform speed with frequency f. What is the kinetic energy of the particle?

• (mf²r²)/(4π²)

• (mf²r)/2

• 2π²mf²r²

• 4π²mfr³

Tags

NGSS.HS-PS3-1

NGSS.HS-PS3-2

A laboratory centrifuge rotates at 1500 revolutions per minute.

Which of the following expressions gives the angular velocity in radians per second?