Explain what you understand by each of the following terms

​Explain what you understand by each of the following terms: 

(​i) Angular velocity (1mk)

​The angle covered in radians per second by an object in circular motion

​(ii) Centripetal force (1mk)

​The force that keeps an object in circular motion

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​b) A bicycle wheel with radius 28cm moves with a linear velocity of 8m/s, determine 

​(i) the angular velocity of the wheel (2mks)

​(ii) the centripetal acceleration of a point on the rim of the wheel (2mks)

​(c) To determine the relationship between angular velocity w and tension T, a student used a smooth disc with a hole at the centre,  a string and cylindrical object of mass m, as shown below

To determine the relationship between angular velocity w and tension T, a student used a smooth disc with a hole at the centre, a string and cylindrical object of mass m, as shown above

​Describe how the student went about determining the relationship, specifying any other necessary material or instrument not shown in the diagram (3mks)

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​The cylindrical mass was attached to a known weight, T, hanging freely below the hole. The disc was rotated with an increasing angular velocity w, till the hanging weight was steady. The experiment was repeated to obtain other values of w and their corresponding hanging weights