12. Rotational Kinematics

Rotational Velocity & Acceleration

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Which of the following are units for expressing rotational velocity, commonly denoted by $ω$ ?
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A fan blade is rotating and speeding up in the counterclockwise direction, which is defined as the positive direction. What are the signs of its angular velocity $ω$ and angular acceleration $α$ ?
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Which of the following are valid units for expressing rotational velocity?
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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.
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What is the angular speed of the tip of the minute hand on a clock, in rad/s?
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A person runs ¼ of the way around a circular lake in 5.6 minutes. What is the person's angular speed?
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A car drives at a constant $15 m / s$ along a curve on city street with a radius of $70 m$ . What is the acceleration of the car?
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The dwarf planet Ceres has a radius of $476 km$ , a mass of $9.5 \times 10^{20} kg$ , and a free fall acceleration due to gravity of $0.28 m / s^{2}$ . 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.
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A wheel of radius 5 m accelerates from 60 RPM to 180 RPM in 2 s. Calculate its angular acceleration.
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