A fan blade is rotating with a constant angular acceleration of +9.8 rad/s^2. At

Question

A fan blade is rotating with a constant angular acceleration of +9.8 rad/s^2. At what point on the blade, as measured from the axis of rotation, does the magnitude of me tangential acceleration equal that of the acceleration doe to gravity? r = The earth has a radios of 6.38 times 10^6 m and turns on its axis once every 23.9 h. (a) What is the tangential speed (in m/s) of a person living in Ecuador, a country that lies on the equator? (b) At what latitude (i.e., the angle theta in the drawing) is the tangent speed two-thirds that of a person living in Ecuador? A baseball pitcher throws a baseball horizontally at a linear speed of 42.5 m/s (about 95 mi/h). Before being caught, the baseball travels a horizontal distance of 15.1 m and rotates through an angle of 46.S rad. The baseball has a radius of 3.67 cm and is rotating about an axis as it travels, much like the earth does. What is the tangential speed of a point on the "equator" of the baseball? m/s A planet orbits a star once every 3.23 times 10^7 s in a nearly circular orbit of radius 1.62 times 10^11 m. (a) What respect to the star, determine the angular speed of the planet. rad/s (b) With respect to the star, determine the tangential speed of the planet. m/s (c) With respect to the star, determine the magnitude and Section of the planet s centripetal acceleration. magnitude m/s^2 direction

Explanation / Answer

9) given details are

Angular acceleration = 9.8m/s^2

when rotating at a constant angular acceleration beta, it has constant tangential acceleration (a = r x angular acceleration)

So ,

r x angular acceleration = acceleration due to gravity

9.8 * r = 9.8

r = 1 m

Point on the blade is 1m from the axis

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