PRELAB ASSIGNMENT (Lab 9) Name law? Give the meaning of eac equation is the rota

Question

PRELAB ASSIGNMENT (Lab 9) Name law? Give the meaning of eac equation is the rotational equivalent of Newton's and state which rotational quantities are analogous to which linear quantities. 2. In the preliminary measurements of this experiment, you wish to determine how much kinetic friction of rotation is in your system. In order to do this, you use trial and error, experimenting with amounts of mass draped over your pulley. Using your rotary motion sensor to collect data, you sce two graphs in Logger Pre; one is a graph of angular position vs. time and the other is a graph of angular velocity vs. time. What do you expect your graph of angular position vs. time to look like when you have found the corect amount of force to counterbalance friction? What do you expect your graph of angular velocity vs. time to look like? (Hint: Use the knowledge you learned earber in the semester about positon vs. time and velocity rs. time. The same principles work here for angular quantities.) 3. Later, you wish to use much more force (apply greater torque), so that your disk will accelerate rather than rotate at a constant angular speed. What do you expect your graph of angular position vs. time to look like now? What do you expect your graph of angular velocity vs. time to look like? (Hint Use the knowledge you learned earlier in the semester about position vs. time and velocity vs. time. The same principles work here for angular quantities.) 119

Explanation / Answer

let theta is the angular position.

angular speed, w = d(theta)/dt

angular acceleration, alfa = dw/dt

= d^2(theta)/dt^2

so, when you take graph between theta and alfa, we get a parabola.

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