The relation between the pitch of the chain (p) and pitch circle diameter of the sprocket (D) is given by (where T = Number of teeth on the sprocket)

A $${\text{p}} = {\text{D}}\sin \frac{{{{90}^ \circ }}}{{\text{T}}}$$
B $${\text{p}} = {\text{D}}\sin \frac{{{{120}^ \circ }}}{{\text{T}}}$$
C $${\text{p}} = {\text{D}}\sin \frac{{{{180}^ \circ }}}{{\text{T}}}$$
D $${\text{p}} = {\text{D}}\sin \frac{{{{360}^ \circ }}}{{\text{T}}}$$

Correct Answer: $${\text{p}} = {\text{D}}\sin \frac{{{{180}^ \circ }}}{{\text{T}}}$$

Bissoy MCQ
#Mechanical Engineering #Machine Design

Related Questions

A certain dentist specializes in implanting gold and silver teeth in his patients mouths .He charges $ 650 for a gold tooth an $ 325. for a silver tooth. If his told fees for implanting gold and silver teeth last week were $ 15, 925 in total and he implanted five more gold teeth that silver teeth, how many teeth in total did he implant over the week?
A 33
B 32
C 31
D 34
The speed of the sprocket reduces as the chain pitch __________ for a given number of teeth.
A Increases
B Decreases
C Remain same
D None of these
If T is the actual number of teeth on a helical gear and $$\varphi $$ is the helix angle for the teeth, then formative number of teeth is written as
A $${\text{T}}{\sec ^3}\varphi $$
B $${\text{T}}{\sec ^2}\varphi $$
C $$\frac{{\text{T}}}{{{{\sec }^3}\varphi }}$$
D $${\text{Tcosec}}\varphi $$
In order to have smooth operation, the minimum number of teeth on the smaller sprocket, for moderate speeds, should be
A 15
B 17
C 21
D 25
For a bevel gear having the pitch angle $$\theta $$, the ratio of formative number of teeth (TE) to actual number of teeth (T) is
A $$\frac{1}{{\sin \theta }}$$
B $$\frac{1}{{\cos \theta }}$$
C $$\frac{1}{{\tan \theta }}$$
D $$\sin \theta \cos \theta $$
The ratio of the number of teeth to the pitch circle diameter in millimeters, is called
A circular pitch
B diametral pitch
C module
D none of the mentioned
The ratio of pitch circle diameter in millimeters to the number of teeth, is called
A Circular pitch
B Diametral pitch
C Module
D None of these
In helical gears, the distance between similar faces of adjacent teeth along a helix on the pitch cylinders normal to the teeth, is called
A normal pitch
B axial pitch
C diametral pitch
D module
When the addenda on pinion and wheel is such that the path of approach and path of recess are half of their maximum possible values, then the length of the path of contact is given by (where r = Pitch circle radius of pinion, R = Pitch circle radius of wheel and $$\varphi $$ = Pressure angle)
A $$\frac{{\left( {{{\text{r}}^2} + {{\text{R}}^2}} \right)\cos \varphi }}{2}$$
B $$\frac{{\left( {{{\text{r}}^2} + {{\text{R}}^2}} \right)\sin \varphi }}{2}$$
C $$\frac{{\left( {{\text{r}} + {\text{R}}} \right)\cos \varphi }}{2}$$
D $$\frac{{\left( {{\text{r}} + {\text{R}}} \right)\sin \varphi }}{2}$$
In a shell and tube heat exchanger having square pitch, the shell side equivalent diameter is given by (where, P = pitch, d = outside diameter of the tube)
A $$\frac{{4\left( {{{\text{p}}^2} - \pi {{\text{d}}^2}/4} \right)}}{{\pi {\text{d}}}}$$
B $$\frac{{{{\text{p}}^2} - \pi {{\text{d}}^2}/4}}{{\pi {\text{d}}}}$$
C $$\frac{{4{{\text{p}}^2}}}{{\pi {\text{d}}}}$$
D $$\frac{{\pi {\text{d}}}}{{4{{\text{p}}^2}}}$$

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