The elastic modulus of a piece of steel rod under a load of 1200 pounds, is given by the formula , L is the original, unloaded, length in inches, A is the cross-sectional area in square inches, and l is the elongation (in inches) due to a load. A 24 inch long steel rod having a cross-sectional area of A = 2.85 square inches, is stretching 0.009 inches under a load of 1200 pounds. Due to changes in temperature, the elastic modulus E of the rod is changing. Find the rate of change of the elastic modulus if the elongation is currently 0.009 and is changing at a rate of 0.00037 in/s.

Question

The elastic modulus of a piece of steel rod under a load of 1200 pounds, is given by the formula  , L is the original, unloaded, length in inches, A is the cross-sectional area in square inches, and l is the elongation (in inches) due to a load. A 24 inch long steel rod having a cross-sectional area of A = 2.85 square inches, is stretching 0.009 inches under a load of 1200 pounds. Due to changes in temperature, the elastic modulus E of the rod is changing. Find the rate of change of the elastic modulus if the elongation is currently 0.009 and is changing at a rate of 0.00037 in/s.

Quizplus · Accepted Answer

The Answer of The elastic modulus of a piece of steel rod under a load of 1200 pounds, is given by the formula  , L is the original, unloaded, length in inches, A is the cross-sectional area in square inches, and l is the elongation (in inches) due to a load. A 24 inch long steel rod having a cross-sectional area of A = 2.85 square inches, is stretching 0.009 inches under a load of 1200 pounds. Due to changes in temperature, the elastic modulus E of the rod is changing. Find the rate of change of the elastic modulus if the elongation is currently 0.009 and is changing at a rate of 0.00037 in/s.

The Elastic Modulus of a Piece of Steel Rod Under