Question

1. The rate of rotation of the blade on a particular model of lawnmower is 3500 rpm and the blade has a radius of 0.23 m. Find: a) the angular velocity of the blade b) the linear velocity of the blade c) the centripetal acceleration of the tip of the blade. 2. A spin-dryer tub operates at 800 revolutions per minute (rpm). The tub has a diameter of 0.80 m. Calculate: a) The speed of a point on the tub wall b) The centripetal acceleration of the tub wall. 3. An object of mass 6.0 kg is whirled round in a vertical circle of radius of 2 m with a speed of 8 m/s. a) Calculate the maximum and the minimum tension in the string connecting to the center of the circle. b) If the string breaks when the tension exceeds 360 N, calculate the maximum speed of rotation in m/s, and state where the object will be when the string breaks. (Assume g = 10 m/s2) 4. At take-off, a commercial jet has a 60.0 m/s speed. Its tires have a diameter of 0.850 m. (a) At how many rev/min are the tires rotating? (b) What is the centripetal acceleration at the edge of the tire? (c) With what force must a determined 1.00×10?15 kg bacterium cling to the rim? (d) Take the ratio of this force to the bacterium’s weight. 5. A pendulum bob of mass 0.15 kg is suspended from a fixed point by a thread of a fixed length. The bob is given a push so that it moves along a circular path of radius 1.82 m in a horizontal plane at a steady speed, taking 18.0 s to make 10 complete revolutions. Calculate: a) the linear speed of the bob b) the centripetal acceleration of the bob

1. The rate of rotation of the blade on a particular model of lawnmower is 3500 rpm and the blade has a radius of 0.23 m. Find:
a) the angular velocity of the blade
b) the linear velocity of the blade
c) the centripetal acceleration of the tip of the blade.
2. A spin-dryer tub operates at 800 revolutions per minute (rpm). The tub has a diameter of 0.80 m. Calculate:
a) The speed of a point on the tub wall
b) The centripetal acceleration of the tub wall.
3. An object of mass 6.0 kg is whirled round in a vertical circle of radius of 2 m with a speed of 8 m/s. a) Calculate the maximum and the minimum tension in the string connecting to the center of the circle. b) If the string breaks when the tension exceeds 360 N, calculate the maximum speed of rotation in m/s, and state where the object will be when the string breaks. (Assume g = 10 m/s2)
4. At take-off, a commercial jet has a 60.0 m/s speed. Its tires have a diameter of 0.850 m. (a) At how many rev/min are the tires rotating?
(b) What is the centripetal acceleration at the edge of the tire?
(c) With what force must a determined 1.00×10?15 kg bacterium cling to the rim? (d) Take the ratio of this force to the bacterium’s weight.
5. A pendulum bob of mass 0.15 kg is suspended from a fixed point by a thread of a fixed length. The bob is given a push so that it moves along a circular path of radius 1.82 m in a horizontal plane at a steady speed, taking 18.0 s to make 10 complete revolutions. Calculate: a) the linear speed of the bob
b) the centripetal acceleration of the bob

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