When your new Peloton bike indicates that you are burning the maximum number of calories, the chain has a speed of v = 2.30 m/s. When the sprocket of radius r = 0.02 m is in contact with the chain it goes around the sprocket in a circular manner. (a) If the moment of inertia of the sprocket is 4.32 kgm2, what is the rotational kinetic energy of the sprocket? (b) What is the centripetal acceleration of the chain as it makes contact with the sprocket? (c) Given that the torque on the sprocket is 3.24 Nm what is the angular acceleration of the sprocket?

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When your new Peloton bike indicates that you are burning the maximum number of calories, the chain has a speed of v = 2.30 m/s. When the sprocket of radius r = 0.02 m is in contact with the chain it goes around the sprocket in a circular manner.

(a) If the moment of inertia of the sprocket is 4.32 kgm2, what is the rotational kinetic energy of the sprocket? 

(b) What is the centripetal acceleration of the chain as it makes contact with the sprocket? 

(c) Given that the torque on the sprocket is 3.24 Nm what is the angular acceleration of the sprocket? 

(d) Find the tangential acceleration of the sprocket. 

(e) What is the total acceleration of the sprocket? 

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