Total angle covered is equal to area under the curve on the ω-t graph:
θ = (250rev/min(1min/60s))(15 - 10) + (100rev/min(1min/60s))(20 - 15) = 50 rev (2π rad/rev) = 314 rad
The angular velocity (in rpm) of the blade of a blender is given in the figure.
a. If θ=0rad at t=0s, what is the blade's angular position at t=20s?
b. At what time has the blade completed 25 full revolutions?
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Equations of Rotational Motion concept. You can view video lessons to learn Equations of Rotational Motion. Or if you need more Equations of Rotational Motion practice, you can also practice Equations of Rotational Motion practice problems.