If the drag force on a sphere, fd, can be expressed as fd = f(d, v, rho, µ), in [mlt −2 ] (8) where d is the sphere diameter in units of [l], v is the free stream velocity in units of [lt −1 ], rho is the fluid density in units of [ml−3 ], and µ is the fluid viscosity in units of [ml−1t −1 ]. use the buckingham-pi theorem to determine a suitable set of dimensionless parameters.

Review multiple-concept example 7 in this chapter as an aid in solving this problem. in a fast-pitch softball game the pitcher is impressive to watch, as she delivers a pitch by rapidly whirling her arm around so that the ball in her hand moves in a circle. in one instance, the radius of the circle is 0.626 m. at one point on this circle, the ball has an angular acceleration of 66.1 rad/s2 and an angular speed of 12.6 rad/s. (a) find the magnitude of the total acceleration (centripetal plus tangential) of the ball. (b) determine the angle of the total acceleration relative to the radial direction.