A smooth sphere with a diameter of 0.01 m is released from the bottom of a...

Transcribed Image Text:

A smooth sphere with a diameter of 0.01 m is released from the bottom of a pool of liquid. The liquid has a constant density of 25 kg/m and a dynamic viscosity of 5 x 10-3 Ns/m2. After floating 2 m vertically towards the surface of the pool, the sphere reaches terminal velocity. The wake of the sphere, after terminal velocity is reached, has a vortex shedding frequency of w = 30 1/s and a Strouhal Number of St = 0.15. (a) (b) (c) (d) (e) Calculate the terminal velocity of the sphere. Draw the Free Body Diagram of the sphere. Find the drag coefficient of the sphere using the empirical data below. Calculate the drag on the sphere. Calculate the mass of the sphere. A smooth sphere with a diameter of 0.01 m is released from the bottom of a pool of liquid. The liquid has a constant density of 25 kg/m and a dynamic viscosity of 5 x 10-3 Ns/m2. After floating 2 m vertically towards the surface of the pool, the sphere reaches terminal velocity. The wake of the sphere, after terminal velocity is reached, has a vortex shedding frequency of w = 30 1/s and a Strouhal Number of St = 0.15. (a) (b) (c) (d) (e) Calculate the terminal velocity of the sphere. Draw the Free Body Diagram of the sphere. Find the drag coefficient of the sphere using the empirical data below. Calculate the drag on the sphere. Calculate the mass of the sphere.