How Fast Does Roller A Rotate?

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The cart is being pulled at a speed of 5 km/hr to the right, leading to a calculated belt speed of 0.26 m/s and a rotational speed for roller A of 1.7375 rad/s. The poster expresses confidence in these results but seeks confirmation on their accuracy. The discussion revolves around the application of physics equations to determine these speeds. Overall, the calculations appear to align with the expected outcomes for the scenario presented.
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Another Physics question??

Homework Statement



The cart shown below is pulled at a speed of 5 km/hr to the right. Determine the speed of the belt, and the rotational speed of roller A.

Please see figure attached

Homework Equations





The Attempt at a Solution



I got the speed of the belt as 0.26 m/s and rotational speed as 1.7375 rad/s. I was wondering if I got the right answer.
 

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Sounds right to me.
 

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