12. Rotational Kinematics
Rotational Velocity & Acceleration
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- Multiple Choice
Calculate the rotational velocity (in rad/s) of a clock's minute hand.
EXTRA:Calculate the rotational velocity (in rad/s) of a clock's hour hand.
1332views15rank2comments - Multiple Choice
A wheel of radius 5 m accelerates from 60 RPM to 180 RPM in 2 s. Calculate its angular acceleration.
1342views18rank3comments - Multiple ChoiceA car drives at a constant along a curve on city street with a radius of . What is the acceleration of the car?521views
- Multiple ChoiceThe dwarf planet Ceres has a radius of , a mass of , and a free fall acceleration due to gravity of . What speed will a rock have if it is orbiting Ceres, right on the surface? Ceres has no atmosphere – so there are no issues with air resistance – but assume that there are no mountains or large boulders to impede the orbit.1217views
- Textbook Question
FIGURE EX4.24 shows the angular-position-versus-time graph for a particle moving in a circle. What is the particle's angular velocity at t = 4s
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Flywheels—rapidly rotating disks—are widely used in industry for storing energy. They are spun up slowly when extra energy is available, then decelerate quickly when needed to supply a boost of energy. A 20-cm-diameter rotor made of advanced materials can spin at 100,000 rpm. b. Suppose the rotor's angular velocity decreases by 40% over 30 s as it supplies energy. What is the magnitude of the rotor's angular acceleration? Assume that the angular acceleration is constant.
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The angular velocity of a process control motor is ω = ( 20 - ½ t² ) rad/s, where t is in seconds. At what time does the motor reverse direction?
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A 25 g steel ball is attached to the top of a 24-cm-diameter vertical wheel. Starting from rest, the wheel accelerates at 470 rad/s². The ball is released after ¾ of a revolution. How high does it go above the center of the wheel?
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