Question

The angular velocity (in rpm) of the blade of a blender is given in. If θ=0rad at t=0s, what is the blade's angular position at t=20s?

Answer 1

Answer:

θ = 20.9 rad

Explanation:

In a blender after a short period of acceleration the blade is kept at a constant angular velocity, for which we can use the relationship

           w = θ / t

           θ = w t

if we know the value of the angular velocity we can find the angular position, we must remember that all the angles must be in radians

suppose that the angular velocity is w = 10 rpm, let us reduce to the SI system

          w = 10 rpm $(\frac{2\pi rad}{1 rev}) ( \frac{1 min}{60 s} )$

= 1,047 rads

let's calculate

          θ = 1,047 20

          θ = 20.9 rad