> > > > Problem 70P

# A two-dimensional fluid element of dimensions dx and dy ## Problem 70P Chapter 4

Fluid Mechanics | 2nd Edition

• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Fluid Mechanics | 2nd Edition

4 5 0 388 Reviews
26
0
Problem 70P

A two-dimensional fluid element of dimensions dx and dy translates and distorts as shown in Fig. P4‒74 during the infinitesimal time period dt = t 2‒t 1· The velocity components at point P at the initial time are u and v in the x- and y-directions, respectively. Show that the magnitude of the rate of rotation (angular velocity) about point P in the xy-plane is  FIGURE P4‒74

Step-by-Step Solution:

Problem 70P

Solution 70P

Step 1 of 6 :

In this question,we have two dimensional fluid, we need to show the magnitude of rate of rotation at point  P as Considering the given figure Step 2  of 6:

From the definition of angular velocity we have, the rate of rotation at a point is the average rotation rate of two initially perpendicular lines intersect at a point P

Here Line a rotates along an angle and Line b rotates along an angle Thus we have average angle of rotation as Step 3 of 6 :

During time increment The point P moves distance along right and upwards

The point A moves distance along right and upwards

The point B moves distance along right and upwards

Step 4 of 6

Step 5 of 6

##### ISBN: 9780071284219

Since the solution to 70P from 4 chapter was answered, more than 268 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Fluid Mechanics, edition: 2nd. This full solution covers the following key subjects: velocity, point, initial, dimensions, Directions. This expansive textbook survival guide covers 15 chapters, and 1547 solutions. Fluid Mechanics was written by Sieva Kozinsky and is associated to the ISBN: 9780071284219. The answer to “A two-dimensional fluid element of dimensions dx and dy translates and distorts as shown in Fig. P4?74 during the infinitesimal time period dt = t 2?t 1· The velocity components at point P at the initial time are u and v in the x- and y-directions, respectively. Show that the magnitude of the rate of rotation (angular velocity) about point P in the xy-plane is FIGURE P4?74” is broken down into a number of easy to follow steps, and 67 words. The full step-by-step solution to problem: 70P from chapter: 4 was answered by Sieva Kozinsky, our top Engineering and Tech solution expert on 07/03/17, 04:51AM.

×
Get Full Access to Fluid Mechanics - 2nd Edition - Chapter 4 - Problem 70p

Get Full Access to Fluid Mechanics - 2nd Edition - Chapter 4 - Problem 70p

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Already have an Account? Is already in use