HW4 - this distance in the time it takes to travel from the mound to the plate A baseball is obviously spherical but for the purposes of this

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
MAE 150A, Winter 2009 J. D. Eldredge Homework 4 (5 problems), due Friday, February 6 1. Problem 11.50, Wilcox (2nd edition: 11.46) 2. Problem 11.52, Wilcox (2nd edition: 11.48) 3. Problem 11.51, Wilcox (2nd edition: 11.52) 4. Use Matlab to plot the streamline pattern for uniform flow U past a circular cylinder of radius R and circulation Γ. Since ψ is constant on streamlines, a contour plot of ψ will produce a streamline pattern (without the arrows). The contour function in Matlab can help with this (type help contour ). I’ve attached an example of what one might look like. Construct a plot for three different values of the parameter Γ / ( U R ), which correspond to (respectively): two stagnation points on cylinder surface, one stagnation point on surface, and no stagnation points on surface. 4 3 2 1 0 1 2 3 4 4 3 2 1 0 1 2 3 4 Streamlines for Γ = 1/2 Γ c x/R y/R 5. A baseball pitcher wants to throw a curveball that ‘breaks’ 1 m (i.e. it moves horizontally by
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: this distance in the time it takes to travel from the mound to the plate). A baseball is obviously spherical, but for the purposes of this problem we will take it to be cylindrical (with axis oriented vertically), with a mass per unit depth of 2 kg/m and a diameter of 7 cm. Suppose that the pitch is thrown with a velocity of 80 mph. The distance from the mound to homeplate is 60 ft 6 in, and the density of air is 1.2 kg/m 3 . Using potential flow theory (and thus ignoring drag forces), estimate the rotation rate (in rev/min) that the pitch must be thrown with in order to achieve the desired break. (Note: for rigid body rotation, the vorticity is equal to twice the rotation rate. Relate circulation to this.)...
View Full Document

This note was uploaded on 10/09/2009 for the course MAE 150A taught by Professor Eldridge during the Spring '09 term at UCLA.

Ask a homework question - tutors are online