Question: Suppose that a plate is immersed vertically in a fluid with density and the width of the plate is w(x) at a depth of meters

Suppose that a plate is immersed vertically in a fluid with density and the width of the plate is w(x) at a depth of meters beneath the surface of the fluid. If the top of the plate is at depth a and the bottom is at depth b, show that the hydrostatic force on one side of the plate is

F- pgxw(x) dx

Step by Step Solution

★★★★★

3.36 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Partition the interval a b by points a as usual and ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

M-C-I (396).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

A capillary tube is immersed vertically in a water container. Knowing that water starts to evaporate when the pressure drops below 2 kPa, determine the maximum capillary rise and tube diameter for...

If discharge is held constant and the width of the stream channel decreases, what happens to stream speed? What effect will this have on the stream channels depth?

A square plate of side 360 mm is hinged at A and B to a clevis. The plate rotates at the constant rate 2 = 4 rad/s with respect to the clevis, which itself rotates at the constant rate 1 = 3 rad/s...

A trough whose cross section is a trapezoid is b = 6 m across at the bottom, a = 8 m across at the top, and 2 m deep. If the trough is lled to 1 m with water, what is the force due to water pressure...

Please answer the following questions using the examples as references. 1. Calculate the fluid force on one side of the plate using the coordinate system shown below. Assume the density is 62.4...

Q1 - LEARNING ACTIVITY SHEET (LAS) 1 Name: SHS 11 - General Physics 1 Section: Directions: Read each question carefully and choose the letter of the best answer. Encircle but if you step on a single...

Does total pressure takes into the account force exerted by the fluid when it is in the dynamic motion? a) Yes b) No c) Depends on the conditions d) Depends on the type of Motion 2. Can centre of...

Suppose a thin vertical flat plate. 60 cm high and 40 cm wide, is immersed in a fluid flowing parallel to is surface. If the plate is at 40?C and the fluid at 10?C, estimate the Reynolds number at...

4. [-/2 Points] WEBASSIGNALGPHYS1 1.2.006. ASK YOUR TEACHER Tectonic plates are large segments of the Earth's crust that move slowly. Suppose one such plate has an average speed of 5.40 cm per year....

Consider the vertically submerged rectangular plate. We are going to determine the total force due to liquid pressure on the plate. The dimensions of the plate are W = 15 ft, L = 4 ft. The top of the...

Suppose that P (A|B) = 0.4 and P(B) = 0.5. Determine the following: (a) P (A B) (b) P (A B)

What role does an operational concept definition play in planning a research project?

Baker and others entered a Wal-Mart store shortly after 3:00 A.M. by cutting through the metal door with an acetylene torch. They had moved some of the merchandise in the store to the rear door, but...

If 200 labor hours were required to produce the 15tunit in a production run and 60 labor hours were required to produce the 7th unit, what was the learning-curve rate during production?

How much must be deposited now at 5.25% interest to produce $300 at the end of ~very year for 10 years?

Interest on Zeroes Snowflake Corporation needs to raise funds to finance a plant expansion, and it has decided to issue 25-year zero coupon bonds to raise the money. The required return on the bonds...

Repeat problem 29, assuming each battery has internal resistance r = 1.0.

Find the density of methane (M = 16 kg/kmol) at 20 C and 5.0 atm.

Prove that |a/b| = |a|/|b|.

Show that if 0

Prove that |x - y | > |x| - |y|. the Triangle Inequality with a = x - y and b = y.

You wish to retire in 12 years, at which time you want to have accumulated enough money to receive an annual annuity of $15,000 for 17 years after retirement. During the period before retirement you...

pls help with these asap! will give good rating! (Estimated time allowance: 20 minutes) CePina Company currently does not use any debt at all (it is an all-equity firm). The firm has 3,000,000 shares...

Scanlon Inc.'s CFO hired you as a consultant to help her estimate the cost of capital. You have been provided with the following data: r RF = 4.10%; RP M = 5.25%; and b = 1.75. Based on the CAPM...