Moment of inertia, of a spinning body about an axis, doesn’t depend on which of the following factors? a) Distribution of mass around axis b) Orientation of axis c) Mass d) Angular velocity
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Moment of inertia, of a spinning body about an axis, doesn’t depend on which of the following factors?
a) Distribution of mass around axis
b) Orientation of axis
c) Mass
d)
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- A wheel accelerates from rest to 59 rad/s at a rate of 37 rad/s2. Through whatangle (in radians) did the wheel turn while accelerating?A) 59 rad, B) 94 rad, C) 47 rad, D) 38 rad4) A stone with mass m = 2 g at the end of a massless string is swinging in a circle of radius R = 1.8 m with and angular velocity ω = 11 rad/s. a) Write an expression for the velocity v of the stone. b) Calculate the velocity of the stone, v in m/s. c) In order to travel in a circle, the direction the stones path must constantly be changing (curving inward). This constant change in direction towards the center of the circle is a center pointing acceleration called centripetal acceleration ac. Write an expression for the centripetal acceleration ac of the stone, in terms of the linear velocity. d) Calculate the centripetal acceleration of the stone, ac in m/s².When a fan is turned off, its angular speed decreases from 168 rpm to 64.0 rpm in 6.08 s. A) what is the angukar acceleration of the fan? B) How fast the edges of the blades are moving (in m/s) at time 6.08 s, if they are 86.0 cm long?
- A rock tied to the end of string swings at a constant angular rate. If you are told that the string can support a total of 85 N of force before breaking, what is the maximum angular velocity the rock can rotate if the rock has a mass of 0.16 kg, and the length of the string is 0.5 m? Give your answer in units of radian per secondQuestion 13 An ice skater starts to spin with an angular velocity of 2 rotations per second, when she moves her arms close together her angular inertia goes down by a factor of 5, how fast would she rotate then? O 2/5 rotations per second O 5 rotations per second O 5/2 rotations per second O 10 rotations per second Question 14 What is the tangential velocity of a ladybug that is 20 cm from the center of a turntable rotating at 5 radians per second? Hint: Watch the units O 4 m/s O 1 m/s O 100 m/s O 0.04 m/s Question 15 What is the magnitude of the centripetal force keeping the ladybug of the above problem in circular motion? Use 2x10-5 kg for her mass. Hint: Watch the units O 1x104 N O 1x107 N 2x10 3 N O 1x105 NQ14: Examine the diagram of a bear on a pole. The string (T) can hold a total of 900 N. Can the bear reach the 80-N basket of food without the string breaking? The total R distance out to the food is 6-m. (No, the bear falls; max=5.14 m) EACT: The rotational equivalent of Newton's Second Law is expressed as ST - Ia