1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ArbitrLikvidat [17]
3 years ago
11

Problem 6.2 7–14 Engine oil at 80°C flows over a 12-m-long flat plate whose temperature is 30°C with a velocity of 3 m/s. Determ

ine the total drag force and the rate of heat transfer over the entire plate per unit width.

Physics
1 answer:
Ber [7]3 years ago
4 0

Answer:

A) Drag force = 88.02 N

B) Rate of heat transfer = 38,214 W

Explanation:

A) The properties of engine oil at temperature of; (Ts + T(∞))/2 =

(30 + 80)/2 = 55°C are;

From the table i attached, we get the following ;

Density(ρ) = 0.867 g/cm³ = 867 kg/m³

Viscocity (μ) = 0.1264 mm²/s = 12.64 x 10^(-5) m²/s

Also from the table, by interpolation;

Pr = 1551

k = 0.1414 W/m°C

Kinematic Viscosity (v) = 7.045 x 10^(-5) m²/s

Now, Reynolds number(Re) = VLc/v

Where V is the flow velocity,

v is the kinematic velocity,

Lc is the characteristic length.

Thus, Re = (3 x 12)/(7.045 x 10^(-5)) =

5.11 x 10^(5)

This is less than the critical Re, thus we have a laminar flow.

So, the friction coefficient,

Cf = 1.328 Re^(-0.5)

Cf = 1.328(5.11 x 10^(5))^(-0.5) = 0.00188

Drag force(Fd) = (Cf)(A)(ρV²/2) = 0.00188 x (12 x 1)((867 x 3²)/2) = 88.02 N

B) The Nusselt number is determined from:

Nu = hL/k = 0.664 x Re^(0.5) x  Pr^(1/3)

Nu = 0.664 x [5.11 x 10^(5)]^(0.5) x 1551^(1/3) = 5494.34

Thus, hL/k = 5494.34

h = (5494.34 x 0.1413)/12 = 64.69 W/m².k

Thus, rate of heat transfer per unit length is given as;

Q' = hA(T(∞) - Ts) = 63.69 x (12x1) x (80 - 30) = 38,214 W

You might be interested in
A cart is pulled by a force of 250 N at an angle of 35° above the horizontal. The cart accelerates at 1.4 m/s2. The free-body di
Vikki [24]

Answer:

Mass of the cart = 146 kg

Explanation:

A cart is pulled by a force of 250 N at an angle of 35° above the horizontal.

The cart accelerates at 1.4 m/s² horizontally.

Horizontal force = Fcosθ = 250 cos35° = 204.79N

We have F = ma

Substituting

        204.79 = m x 1.4  

              m = 146.28 kg = 146 kg

Mass of the cart = 146 kg

3 0
2 years ago
Hydrogen fluoride gas (HF) and sodium hydroxide (NaOH) react in a test tube. They form water and sodium fluoride (NaF). Which ty
solmaris [256]
The type of reaction that occurred in the test tube is ACID BASE REACTION.
Acid base reaction is a type of chemical reaction in which an acid and a base react together to form salt and water molecules. It is also known as neutralization reaction. For the question given above, the applicable chemical reaction is as follows:
HF + NaOH = NaF + H2O
 From this chemical reaction, it can be seen that, hydrogen fluoride, which is a weak acid react with sodium hydroxide which is a strong base to produce sodium fluoride, which is a salt and a molecule of water.
8 0
3 years ago
A child sits 1.6 m from the center of a merry go round that makes one complete revolution in 4.7 s. What is his angular accelera
olga2289 [7]

Answer: angular acceleration = 2.86\ rad/sec^{2}

Given:

Distance from center of axis = 1.6 m

Time taken to complete one revolution = 4.7 sec

Therefore, we can evaluate the angular acceleration using the following formula:

\alpha = r\times \omega^{2}

\alpha = r\times (\frac{2\pi}{T})^{2}

\alpha = 1.6\times (\frac{2\times3.14}{4.7})^{2}

\alpha = 2.86\ rad/sec^{2}

7 0
3 years ago
A 0.50 kg toy is attached to the end of a 1.0 m very light string. The toy is whirled in a horizontal circular path on a frictio
xenn [34]

Answer:

The maximum speed will be 26.475 m/sec

Explanation:

We have given mass of the toy m = 0.50 kg

radius of the light string r = 1 m

Tension on the string T = 350 N

We have to find the maximum speed without breaking the string  

For without breaking the string tension must be equal to the centripetal force

So T=\frac{mv^2}{r}

So 350=\frac{0.5\times v^2}{1}

v^2=700

v = 26.475 m /sec

So the maximum speed will be 26.475 m/sec

6 0
2 years ago
A ball of moist clay falls 17.3 m to the ground. It is in contact with the ground for 24.0 ms before stopping. (a) What is the a
gizmo_the_mogwai [7]

Answer:

Acceleration,  767.08\ m/s^2

Explanation:

Given that,

Height from a ball falls the ground, h = 17.3 m

It is in contact with the ground for 24.0 ms before stopping.

We need to find the average acceleration the ball during the time it is in contact with the ground.

Firstly, find the velocity when it reached the ground. So,

v^2=u^2+2ah

u = initial velocity=0 m/s

a = acceleration=g

v=\sqrt{2gh} \\\\v=\sqrt{2\times 9.8\times 17.3} \\\\v=18.41\ m/s

It is in negative direction, u = -18.41 m/s

Let a is average acceleration of the ball. Consider, v = and u = -18.41 m/s.

a=\dfrac{v-u}{t}\\\\a=\dfrac{0-18.41}{24\times 10^{-3}}\\\\a=767.08\ m/s^2

So, the average acceleration of the ball during the time it is in contact is 767.08\ m/s^2.

4 0
3 years ago
Other questions:
  • According to the periodic table, which of the following is the correct symbol for
    15·1 answer
  • Which tower is more likely to fall?
    9·2 answers
  • What is the maximum mass that can hang without sinking from a 20-cm diameter Styrofoam sphere in water? Assume the volume of the
    14·1 answer
  • A car starts from rest and speeds up at 2.2m/s^2 after the traffic light turns green , how far will it have gone when it os trav
    8·1 answer
  • What do hydroelectric plants use to generate electrical energy?
    7·2 answers
  • Does the mass of a supermassive black hole correlate with any other part of a galaxy?
    13·1 answer
  • How much force is required to accelerate a 2 kg mass at 3 m/s2
    5·2 answers
  • Which of the following BEST describes cardiovascular fitness?
    14·2 answers
  • Critical mass depends on ___. Check all that apply.
    8·1 answer
  • Confirm that the force field F is conservative in some open connected region containing the points P and Q, and then find the wo
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!