Wheel with radius 3 m rolls at 18 rad/s. How fast is a point on the rim of the wheel rising when the point isπ/3 radians above the horizontal and rising? round to one decimal.

Respuesta :

Answer:

The point is rising at a speed of 27 m/s.

Step-by-step explanation:

The rim is represented in the figure that is attached

The tangential speed of the point on the rim is given by

[tex]V_{t}=\omega r[/tex]

Applying values we get

[tex]V_{t}=18rad/sec\times 3=54m/s[/tex]

Resolving the speed along the x and y axis as shown in the figure we get

[tex]V_{y}=V_{t}cos(\theta )\\\\\therefore V_{y}=54cos(\frac{\pi }{3})\\\\V_{y}=27m/s[/tex]

Ver imagen A1peakenbe