A:0.8
What will be the rpm of smaller gear if a 180 mm dia meshes with 60 mm dia gear and the bigger
gear makes 60 rpm?
1 om
110 nm
Answers
Explanation:
180 mm diameter meshes with 60 mm diameter gear and the bigger gear makes 60 rpm.
To Find:
What will be the rpm of smaller gear?
Solution:
\mathbf{\textrm{Diameter of smaller gear}\ (D_{1})=60 \ mm}Diameter of smaller gear (D
1
)=60 mm
Speed of smaller gear \mathbf{=N_{1}}=N
1
\mathbf{\textrm{Diameter of larger gear}\ (D_{2})=180 \ mm}Diameter of larger gear (D
2
)=180 mm
Speed of smaller gear \mathbf{=N_{2}= 60 \ RPM}=N
2
=60 RPM
Relation between diameter and speed of rotation of gear:
\mathbf{\dfrac{N_{1}}{N_{2}}=\dfrac{D_{2}}{D_{1}}}
N
2
N
1
=
D
1
D
2
On substituting respective value in above equation:
\mathbf{\dfrac{N_{1}}{60}=\dfrac{180}{60}}
60
N
1
=
60
180
\mathbf{\dfrac{N_{1}}{60}=3}
60
N
1
=3
So:
\mathbf{N_{1}=3\times 60}N
1
=3×60
\mathbf{N_{1}=180 \ RPM}N
1
=180 RPM
Means speed of smaller gear is 180 RPM.