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3. A 0.05 kg marble is placed at the end of a weightless string. The string...

3. A 0.05 kg marble is placed at the end of a weightless string. The string is rotated above the holder’s head, forming a circle with radius of 30 cm. At an instant, the angular velocity is 16 radians per second and the angular acceleration is constant at 8 radians per second squared.
(a) What is the total acceleration of the marble?
(b) What is the magnitude, in newtons, of the string’s tension? (c) If the string breaks, at what velocity will the marble as soon
be moving?

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