2 6 Related Rates 2 6 Related Rates

2. 6 Related Rates

2. 6 Related Rates

2. 6 Related Rates Geometric Model dx/dt? Solve on Board

You cannot put in values for variables until you have differentiated! Variable Constant Geometric Model Implicit Differentiation Variable

In an engine, a 7” connecting rod is fastened to a crankshaft of radius 3”. The crankshaft rotates counterclockwise at a constant rate of 200 revolutions per minute. Find the velocity of the piston when Crankshaft = 3” Connecting Rod = 7” Piston = x”

In an engine, a 7” connecting rod is fastened to a crankshaft of radius 3”. The crankshaft rotates counterclockwise at a constant rate of 200 revolutions per minute. Find the velocity of the piston when Crankshaft = 3” Connecting Rod = 7” Piston = x” Law of Cosines

In an engine, a 7” connecting rod is fastened to a crankshaft of radius 3”. The crankshaft rotates counterclockwise at a constant rate of 200 revolutions per minute. Find the velocity of the piston when Crankshaft = 3” Connecting Rod = 7” Piston = x” Implicit Differentiation: Solution

You could divide every term by 2.

In an engine, a 7” connecting rod is fastened to a crankshaft of radius 3”. The crankshaft rotates counterclockwise at a constant rate of 200 revolutions per minute. Find the velocity of the piston when Crankshaft = 3” Connecting Rod = 7” Piston = x”

Diagram

2. 6 Related Rates

9. 4 Law of Cosines Problem