Some bacteria are propelled by motors that spin hair-like flagella. A typical bacterial motor turning at a constant angular velocity has a radius of 1.2 x10-8m, and a tangential speed at the rim of 1.6 x10-5 m/s. (a) What is the angular speed (the magnitude of the angular velocity) of this bacterial motor? (b) How long does it take the motor to make one revolution? (a) Number i (b) Number i Units Units

Human centrifuges are used to train military pilots and astronauts in preparation for high-g maneuvers. A trained, fit person wearing a g-suit can withstand accelerations up to about 9g (88.2 m/s2) without losing consciousness.   (a) If a human centrifuge has a radius of 4.59 m, what angular speed (in rad/s) results in a centripetal acceleration of 9g? rad/s (b) What linear speed (in m/s) would a person in the centrifuge have at this acceleration? m/s

A race car, starting from rest, travels around a circular turn of radius 28.5 m. At a certain instant, the car is still accelerating, and its angular speed-is 0.794 rad/s. At this time, the total acceleration (centripetal plus tangential) makes an angle of 35.0° with respect to the radius. What is the magnitude of the total acceleration? Number Units

An object rotates about a fixed axis, and the angular position of a reference line on the object is given by θ = 0.580e6t, where θ is in radians and t is in seconds. Consider a point on the object that is 7.00 cm from the axis of rotation. At t = 0, what are the magnitudes of the point's (a) tangential component of acceleration and (b) radial component of acceleration?

A ferris wheel with a radius of 15 meters starts from rest and achieves it's maximum tangential speed of 2.4 meters per second in 33 seconds. What is the magnitude of the tangential acceleration

As you finish listening to your favorite compact disc (CD), the CD in the player slows down to a stop. Assume that the CD spins down with a constant angular acceleration. If the CD rotates clockwise at 500 rpmrpm (revolutions per minute) while the last song is playing, and then spins down to zero angular speed in 2.60 ss with constant angular acceleration How many revolutions does the CD make as it spins to a stop?

A particle is moving along a circular path of radius 1.5 m and has an angular velocity of 10 rad/s. What is the particle’s radial acceleration? What is the particle’s tangential velocity?

A fan rotating with an initial angular velocity of 1000 rev/min is switched off. In 2 seconds, the angular velocity decreases to 200 rev/min. Assuming the angular acceleration is constant, how many revolutions does the blade undergo during this time?

Human centrifuges are used to train military pilots and astronauts in preparation for high-g maneuvers. A trained, fit person wearing a g-suit can withstand accelerations up to about 9g (88.2 m/s²) without losing consciousness. HINT (a) If a human centrifuge has a radius of 4.54 m, what angular speed (in rad/s) results in a centripetal acceleration of 9g? rad/s (b) What linear speed (in m/s) would a person in the centrifuge have at this acceleration? m/s

A figure skater begins spinning counterclockwise at an angular speed of 5.0π rad/s. She slowly pulls her arms inward and finally spins at 9.0π rad/s for 3.0 s. What is her average angular acceleration during this time?