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3 years ago

A 550 kJ of heat quantity needed to increase water temperature from 32°C to 80°C. Calculate the mass

Engineering

1 answer:

jeyben [28]3 years ago

4 0

Answer:

2.728 kg

Explanation:

The units help you keep the calculation straight.

$\dfrac{550\text{ kJ}}{(80^\circ\text{C}-32^\circ\text{C})(4.200\text{ kJ/kg\,$^\circ$C})}=\dfrac{550}{48\cdot4.2}\text{ kg}\approx\boxed{2.728\text{ kg}}$

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The step shaft is subjected to a torque of 710 lb·in. If the allowable shear stress for the material is τallow = 12 ksi, determi

Taya2010 [7]

Answer:

The smallest radius at the junction between the cross section that can be used to transmit the torque is 0.167 inches.

Explanation:

Torsional shear stress is determined by the following expression:

$\tau = \frac{T\cdot r}{J}$

Where:

$T$ - Torque, measured in $lbf\cdot in$ .

$r$ - Radius of the cross section, measured in inches.

$J$ - Torsion module, measured in quartic inches.

$\tau$ - Torsional shear stress, measured in pounds per square inch.

The radius of the cross section and torsion module are, respectively:

$r = \frac{D}{2}$

$J = \frac{\pi}{32}\cdot D^{4}$

Where $D$ is the diameter of the cross section, measured in inches.

Then, the shear stress formula is now expanded and simplified as a function of the cross section diameter:

$\tau = T \cdot \frac{D}{\frac{\pi}{16}\cdot D^{4} }$

$\tau = \frac{16\cdot T}{\pi \cdot D^{3}}$

In addition, diameter is cleared:

$D^{3} = \frac{16\cdot T}{\pi \cdot \tau}$

$D = 2\cdot \sqrt[3] {\frac {2\cdot T}{\pi\cdot \tau}}$

If $T = 710\,lb\cdot in$ and $\tau = 12000\,psi$ , then:

$D = \sqrt[3]{\frac{2\cdot (710\,lbf\cdot in)}{\pi \cdot (12000\,psi)} }$

$D \approx 0.335\,in$

$r \approx 0.167\,in$

The smallest radius at the junction between the cross section that can be used to transmit the torque is 0.167 inches.

4 0

4 years ago

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Why does an object under forced convection reach a steady-state faster than an object subjected to free-convection?

bonufazy [111]

Answer:

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Force convection:

When heat transfer occurs due to some external force then this type of heat transfer is know as force convection.The velocity of fluid is not zero or we can say that fluid is moving in force convection.

Heat transfer coefficient of force convection is high as compare to the natural convection.That is why heat force convection reach a steady-state faster than an object subjected to free-convection.

We know that convective heat transfer given as

q = h A ΔT

h=Heat transfer coefficient

A= Surface area

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