A child sits on a merry‑go‑round that has a diameter of .5.00 m. The child uses her legs to push the merry‑go‑round, making it go from rest to an angular speed of 15.0 rpm in a time of 48.0 s. What is the average angular acceleration ?avgαavg of the merry‑go‑round in units of radians per second squared (rad/s2 )? What is the angular displacement Δθ of the merry‑go‑round, in units of radians (rad), during the time the child pushes the merry‑go‑round? What is the maximum tangential speed ?max of the child if she rides on the edge of the platform?

An ultracentrifuge accelerates from rest to 108600rpm in 2.1min.   A. What is its angular acceleration in units of radians per second squared?   B. What is the tangential acceleration, in meters per second squared, of a point 9.5cm from the axis of rotation?   C. What is the centripetal acceleration, in multiples of g, of this point at full speed?

A bicycle wheel is rotating at 40 rpm when the cyclist begins to pedal harder, giving the wheel a constant angular acceleration of 0.50 rad/s^2 What is the wheel's angular velocity, in rpm, 8.0 s later?

A child sits on a merry-go-round that has a diameter of 4.00 m. The child uses her legs to push the merry-go-round, making it go from rest to an angular speed of 17.0 rpm in a time of 43.0 s. What is the average angular acceleration aavg of the merry-go-round in units of radians per second squared (rad/s?)? davg = rad/s2 What is the angular displacement Að of the merry-go-round, in units of radians (rad), during the time the child pushes the merry-go-round? A0 = rad about us careers privacy policy terms of use contact us help tv MacBook Air II F8 F10 D00 000 CA F9 F7

A fan blade with a diameter of 1.373 m is rotating at a rate of 3898 revolutions per minute. A piece of gum that is attached to the end of the fan blade suddenly becomes loose while its velocity vecor was momentarily pointing straight up. How long will it take for the piece of gum to come back down? Assume that there is no air resistance.

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An automobile with 0.300 m radius tires travels 70,000 km before wearing them out. How many revolutions do the tires make, neglecting any backing up and any change in radius due to wear? x revolutions A truck with O.600 m radius tires travels at 29.0 m/s. At how many radians per second are the tires rotating? What is this in rpm? гad/s rpm

An ultracentrifuge accelerates from rest to 109700 rpm in 2.05 min. ω = 109700 rpmt = 2.05 minl = 9.4 cma. What is its angular acceleration in rad/s2? α =b. What is the tangential acceleration of a point 9.4 cm from the axis of rotation in m/s2? at =c. What is the centripetal acceleration in multiples of g of this point at full speed? a/g =

A child with mass 42 kg sits on the edge of a merry-go-round at a distance of 3.0 m from its axis of rotation. The merry-go-round accelerates from rest up to 0.40 rev/s in 10 s. a. What is the angular acceleration of the merry-go-round? Express this in radians/second. b. What is the angular velocity at 5 s? c. Calculate the centripetal acceleration and tangential acceleration at 5 s. d. What is the total acceleration at 5 s? e. If the coefficient of static friction between the child and the surface of the merry-go-round is 0.6, does the child fall off before 5 s? Hint: To determine this, calculate the frictional force and force due to the acceleration of the merry-go-round on the child. Compare the two forces to find which is larger than the other, therefore overcomes the other.

A “blink of an eye” is a time interval of about 150 ms for an average adult. The “closure” portion of the blink takes only about 55 ms. Let us model the closure of the upper eyelid as uniform angular acceleration through an angular displacement of 15.4°. a. What is the value of the angular acceleration the eyelid undergoes while closing?  answer in rad/s^2 b. What is the tangential acceleration of the edge of the eyelid while closing if the radius of the eyeball is 1.25 cm? answerin m/s^2