If a particle of mass m = 0.2 kg is performing a circular motion with angular velocity ω = 4.0 rad/s and a radius of r = 1.2 m, find: (a) the moment of inertia of the particle, (b) its linear velocity around the circle, (c) its centripetal (radial) acceleration, and (d) its angular momentum
If a particle of mass m = 0.2 kg is performing a circular motion with angular...
You observe a 2.0 kg particle moving at a constant speed of 3.6 m/s in a clockwise direction around a circle of radius 4.0 m. (a) What is its angular momentum about the center of the circle? kg·m2/s (b) What is its moment of inertia about an axis through the center of the circle and perpendicular to the plane of the motion? kg·m2 (c) What is the angular velocity of the particle? rad/s
1- Explain what the center of mass/gravity is. Can it move? Why does its location matter? 2- Define angular velocity, angular acceleration, period, frequency, moment of inertia, centripetal acceleration, and angular momentum. 3- . How does angular velocity relate to linear velocity? How does angular acceleration relate to liner acceleration? 4- Compare and contrast ‘uniform circular motion’ with ‘nonuniform circular motion
1. What is the angular momentum of a 0.240-kg ball rotating on the end of a thin string in a circle of radius 1.35 m at an angular speed of 15.0 rad/s ? 2. A diver can reduce her moment of inertia by a factor of about 4.0 when changing from the straight position to the tuck position. If she makes 2.0 rotations in 1.5 s when in the tuck position, what is her angular speed (rev/s) when in the...
15. Calculate the moment of inertia of a point object of mass 10.0 kg moving in a circle of radius 10.0 m. If the particle is rotating at an angular speed of 2.00 rad/s, what is its angular momentum?
Consider a particle of mass m = 17.0 kg revolving around an axis with angular speed ω. The perpendicular distance from the particle to the axis is r = 0.250 m 2.Assume ω = 13.0 rad/s . What is the magnitude v of the velocity of the particle in m/s? 3. Now that you have found the velocity of the particle, find its kinetic energy K.
Question: Part A) A mass of 0.134 ± 0.005 kg, set at the radius 9.5 ± 0.1 cm, undergoes uniform circular motion with the angular velocity 8.6 ± 0.2 rad/s. What is the centripetal force acting on the mass? Part B) A mass of 0.133 ± 0.005 kg, set at the radius 7.9 ± 0.3 cm, undergoes uniform circular motion with the angular velocity 14 ± 0.4 rad/s. What is the uncertainty in the centripetal force acting on the mass?
A particle object undergoes uniform circular motion at a speed v around a circle of radius r. Given v and r, the magnitude of centripetal acceleration is a0. Assume when either v or r are changed, the particle remains in uniform circular motion. 1. Suppose the radius of the circle is cut in half. What happens to the magnitude of the centripetal acceleration? choices: the acceleration doubles, acceleration increases by square root of 2, acceleration remains the same, acceleration decreases...
Consider a particle of mass m = 21.0 kg revolving around an axis with angular speed ω. The perpendicular distance from the particle to the axis is r = 1.75 m . (Figure 1) 1. Assume ω = 21.0 rad/s . What is the magnitude v of the velocity of the particle in m/s? 2. Now that you have found the velocity of the particle, find its kinetic energy K. Express your answer numerically, in joules.
12) A horizontal circular platform rotates counterclockwise about its axis at the rateo with a mass of 69.3 kg, walk clockwise around the platform along its edge at the speed of 1.15 m/s with respect to the platform. Your 20.7-kg po at half the platform's radius and at half your linear speed with respect to the platform. Your 17.9-kg mutt, on the other hand, sits still on the platform at a position that is 3/4 of the platform's radius from...
7.An 80.0 kg person rotates and undergoes uniform circular motion with a constant angular velocity of 8.0 rad/s 2.0m from the center of a merry-go-round. a) What is the person’s centripetal acceleration? b) What is the centripetal force this person experiences?