Question

#1 please. I’m crying and need this done by tmr. I need you to hurry I’m so tired.

Answer 1

Given that the diameter of the wheel is d = 35 m.

Also, given that it completes 1 rev in 2 min 20 sec.

We have to find angular velocity, tangential velocity and centripetal acceleration.

The radius of the wheel will be

`\begin{gathered} r\text{ =}(d)/(2) \\ =(35)/(2) \\ =17.5\text{ m} \end{gathered}`

The tangential velocity is

`\begin{gathered} v=(2\pi r)/(t) \\ =(2*3.14*17.5)/(2*60+20) \\ =0.785\text{ m/s} \end{gathered}`

The angular velocity will be

`\begin{gathered} \omega=(v)/(r) \\ =(0.785)/(17.5) \\ =0.044\text{ rad/s} \end{gathered}`

The centripetal acceleration is

`\begin{gathered} a_c=(v^2)/(r) \\ =((0.785)^2)/(17.5) \\ =0.035m/s^2 \end{gathered}`