Search results
Describe rotational kinematic variables and equations and relate them to their linear counterparts; Describe torque and lever arm; Solve problems involving torque and rotational kinematics
- 21.3 The Dual Nature of Light
Figure 21.10 shows a comet with two prominent tails. Comet...
- 23.3 The Unification of Forces
As discussed earlier, the short ranges and large masses of...
- 8.3 Elastic and Inelastic Collisions
Elastic and Inelastic Collisions. When objects collide, they...
- 20.3 Electromagnetic Induction
Figure 20.33 Movement of a magnet relative to a coil...
- 2.3 Position Vs. Time Graphs
As we said before, d 0 = 0 because we call home our O and...
- 22.4 Nuclear Fission and Fusion
As shown in Figure 22.26, a neutron strike can cause the...
- 2.4 Velocity Vs. Time Graphs
Teacher Support. Ask students to use their knowledge of...
- 10.1 Postulates of Special Relativity
The laws of physics are the same in all inertial reference...
- 21.3 The Dual Nature of Light
20 lip 2022 · This time interval, T , is called the period. In one period the object travels a distance s = vT equal to the circumference, \(s=2 \pi r\); thus \[s=2 \pi r=v T \nonumber \] The period T is then given by \[T=\frac{2 \pi r}{v}=\frac{2 \pi r}{r \omega}=\frac{2 \pi}{\omega} \nonumber \] The frequency f is defined to be the reciprocal of the period,
Dynamics for rotational motion is completely analogous to linear or translational dynamics. Dynamics is concerned with force and mass and their effects on motion. For rotational motion, we will find direct analogs to force and mass that behave just as we would expect from our earlier experiences.
Period, \(T\), is defined as the amount of time it takes to go around once - the time to cover an angle of \(2\pi\) radians. Frequency, \(f\), is defined as the rate of rotation, or the number of rotations in some unit of time. Angular frequency, \(\omega\), is the rotation rate measured in radians.
The formula v = r is true for a wheel spinning about a fixed axis, where v is speed of points on rim. A similar formulas v CM = r works for a wheel rolling on the ground. Two very different situations, different v’s: v = speed of rim vs. v cm = speed of axis. But v = r true for both.
A crucial equation bridges the gap between angular velocity ($\omega$) and linear or rotational velocity ($v$). Given that the arc length $s$ is equal to the product of the radius $r$ and the angular displacement $\theta$, and that velocity is the change in displacement over time, we can derive:
Physics Formulas Rotational Motion. Tangential Velocity; V=2πr/time where r is the radius of the motion path and T is the period of the motion. AngularVelocity; ω=2π/T=2πf where T is the period of the motion and f is the frequency.
