Science, asked by muzaffarhussain, 6 months ago

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

Answered by bhakti4616
0

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.

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