Rotational Kinematics
This is the rotational analog of meters.
What is a radian?
This is how the torque of a door changes as you apply a force farther and farther away from its hinges.
What is increasing?
The value of the net torque when an object is in rotational equilibrium
What is 0 Nm?
The type of relationship between torque and acceleration.
What is a direct relationship?
Rotational energy is measured in this unit.
What is a joule?
This is how to derive an expression for angular acceleration using linear variables?
What is (tangential acceleration/radius)?
A toy car is rolling without slipping across a wooden floor. This force creates a torque on the wheels.
What is static friction?
A seesaw of negligible mass is at rest, and there is a 35kg child sitting 1m right from the fulcrum, this value is the radial distance a 60kg child is sitting from the fulcrum of the seesaw.
What is 0.58 m?
A system’s total inertia increases, and there are no external forces. This is what is happening to the rotational kinetic energy.
What is decreasing?
This is the value on the rotational work done on the object between t = 1 and t = 4.
What is -2.5 J?
When an ice skate is spinning and pulls her arms in before she initiates a jump, this quantity increases.
What is rotational speed?
Sam applies a force of 3N on the door 0.6 m from the hinge. If Sam makes an angle of 30 degrees with the horizontal, this is the value of the torque applied by Sam.
What is 0.9 Nm?
A long platform of negligible mass rests on two supports, one at each end, as shown in the figures. Two identical blocks can be placed on the platform in three different arrangements. This is the comparison of the forces F1, F2, and F3 for the three arrangements.
What is F2 = F3 > F1?
The total inertia of a 3kg disc that has a diameter of 4m, and the axis is displaced to the edge of the disc
What is 18 kgm^2?
A solid disk is rolling down a ramp without slipping, this is the expression for kinetic energy.
What is K = (3/4)Mv^2?
The graph above shows the angular acceleration of a particle over time. This letter represents when the angular velocity of the particle is increasing.
What is section B?
If a hoop with a mass of 2kg and a diameter of 2m starts from rest and has a final angular velocity of 4 rad/s. At 8 seconds, this is the net torque.
What is 1 Nm?
A horizontal circular disc is mounted on a vertical axle through its center and rotates with negligible friction. A graph of the net torque exerted on the disc, initially at rest, is given in terms of time. This is the portion(s) of the graph, if any, where the angular velocity constant.
What is D?
The rotational inertia of a 2m rod rotating about it’s end that has a mass of 3kg
What is 4 kgm^2?
A solid sphere and a hollow cylinder each have mass m and radius R. They roll without slipping from the same height. This shape reaches the bottom first.
What is the solid sphere?
A wheel is rotating CCW, without slipping, and slowing down. This is the direction of the resultant acceleration vector at point P.
What is down and to the left?
A horizontal pole can rotate vertically about a pivot that is attached to a wall at Point P, as shown. A ring is located on the wall where a rope can be attached to support the pole. Two possible attachment points r shown as Point Q and Point R. If the rope tension results in the same torque for both attachment points, this attachment point has the greater rope tension.
What is Point Q?
A well is pulling up a water bucket of 10 kg (rolling without slipping), and the radius of the wheel is 0.2m, and the crank is 0.8m long, this is the value of the force applied by the hand in order for the bucket to JUST be raised
What is 24.5 N?
The figure shows three systems, each consisting of a rod of negligible mass and one or two spenders attached to the rod. Each system can rotate about an axis that is perpendicular to the place of the figure and located at the left end of the rod and each sphere‘s mass is either M or (M/4), as indicated. If the rotational inertia of each sphere about its COM is negligible, this system, if any, has the greatest rotational inertia.
What is all equal?
A block of mass m hang from a light string wrapped around a pulley of radius, R, and moment of inertia, I. The block is released from rest and falls a vertical distance, h. Using conservation of energy, this is the speed of the block after it has fallen a distance, h.
What is the square root of (2mgh/(m + (I/R^2)))?