Ch5_1
 
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Make sure to calculate your answers in SI units unless specified otherwise .
1) An angle subtends a fraction of the circumference of a circle. What is the angle in radians (see sheet 3) ? Indicate with a negative (positive) sign whether your numerical result when expressed in degrees is smaller (larger) than your result in radians.
2) An object moves with constant speed on a circle of m radius due to a centripetal acceleration of m/s2. What is the speed of the object (see sheet 4) ? Indicate with a negative (positive) sign whether the tangential acceleration is zero (nonzero) (see sheet 7).
3) An object moving on a circle with radius of m makes revolutions per minute. What is the centripetal acceleration (see sheet 4) ? Indicate with a negative (positive) sign whether the period can be (cannot be) calculated from the input given.
4) You swing an kg mass held by a string in a horizontal circle of m radius making a turn every seconds. What is the centripetal force (see sheet 4,10) ? Indicate with a positive (negative) sign whether the centripetal force is directed away from (toward) your hand holding the string.
5) The cabin of a merry-go-round moves in a vertical circle of m radius making a full turn every seconds. What is the apparent weight of a kg passenger at the top of the circle (see sheet 12, Ch4 sheet 16) ? Indicate with a negative (positive) sign whether the apparent weight at the top is smaller (larger) than the apparent weight at the bottom.
6) You swing an kg mass held by a wire in a vertical circle of m radius with a constant speed of m/s. What is the magnitude of the tension in the wire at the bottom of the circle (see sheet 12 and Ch4 sheet 18" (the tension in the string is the apparent weight); replace the cabin with the kg mass; the centripetal force is due to gravity and tension in the wire)? Indicate with a positive (negative) sign whether the tension at the top of the circle is larger (smaller) than the tension at the bottom.

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