# GATE ME 2013 | Question: 7

0 votes

For steady, fully developed flow inside a straight pipe of diameter $D$, neglecting gravity effects, the pressure drop $\Delta p$  over a length $L$ and the wall shear stress $\tau _\omega$ are related by

1. $\tau _\omega =\dfrac{\Delta pD}{4L} \\$
2. $\tau _\omega =\dfrac{\Delta pD^2}{4L^2} \\$
3. $\tau _\omega =\dfrac{\Delta pD}{2L} \\$
4. $\tau _\omega =\dfrac{4\Delta p L}{D}$

recategorized

Answer:

## Related questions

0 votes
0 answers
Two solid circular shafts of radii $R_1$ and $R_2$ are subjected to same torque. The maximum shear stresses developed in the two shafts are $\tau _1$ and $\tau _2$. If $R_1$/ $R_2$=$2$, then $\tau _2/\tau _1$ is _______
0 votes
0 answers
A machine element is subjected to the following bi-axial state of stress: $\sigma _x$ = $80$ $MPa$; $\sigma _y$ = 20 MPa; $\tau _{xy}$ = $40$ $MPa$. If the shear strength of the material is $100$ $MPa$, the factor of safety as per Tresca’s maximum shear stress theory is $1.0$ $2.0$ $2.5$ $3.3$
0 votes
0 answers
A hinged gate of length $5$ $m$, inclined at $30^\circ$ with the horizontal and with water mass on its left, is shown in the figure below. Density of water is $1000$ $kg$/$m^3$. The minimum mass of the gate in $kg$ per unit width (perpendicular to the plane of paper), required to keep it closed is $5000$ $6600$ $7546$ $9623$
0 votes
0 answers
A simply supported beam of length $L$ is subjected to a varying distributed load $\sin(3\pi x/L) Nm^{-1}$ , where the distance $x$ is measured from the left support. The magnitude of the vertical reaction force in $N$ at the left support is $\text{zero}$ $L/3\pi$ $L/\pi$ $2L/\pi$
0 votes
0 answers
A bar is subjected to fluctuating tensile load from $20$ $kN$ to $100$ $kN$. The material has yield strength of $240$ $MPa$ and endurance limit in reversed bending is $160$ $MPa$. According to the Soderberg principle, the area of cross-section in $mm^2$ of the bar for a factor of safety of $2$ is $400$ $600$ $750$ $1000$