Question

The length l metres of a certain metal rod at temperature θ◦C is given by l...

The length l metres of a certain metal rod at temperature θ◦C is given by l = 1 + 0.00004θ + 0.0000005θ2.
Determine the rate of change of length, in mm/◦C, when the temperature is:
a)   100◦C
b)   300◦C.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Answer (a) = 0.14 mm/℃

(b) = 0.34mm/℃

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A technician wants to determine whether the temperature of a metal rod is related to its...
A technician wants to determine whether the temperature of a metal rod is related to its length. To do so she gradually heated the metal rod and recorded its length at various temperatures. Her findings are shown below: Temperature (℃) - ?? 15 20 25 30 35 40 Length (????) - ?? 100 103.5 106.1 112 116.1 119.9 a) Calculate the sample correlation coefficient, ??. Show all your work clearly. ∑ ?? = ∑ ?? = ∑ ?? ∙ ??...
The slendar rod of masss m and length L is released from rest on a smoooth...
The slendar rod of masss m and length L is released from rest on a smoooth (frictionless) surface when θ = 60o . Determine the angular velocity of the rod when θ = 30o . Assume L = 8 m and m = 8 kg
When a plastic rod and a metal rod removed from the freezer (same initial temperature) are...
When a plastic rod and a metal rod removed from the freezer (same initial temperature) are touched, metal rod is felt cooler than the plastic rod. Why? 2. Does heat flow depend on temperature of the two substances or temperature difference between the substances? 3. Which can be easily heated and cooled? (a) Substance of specific heat capacity = 300 J/kg. C, (b) substance of specific heat capacity = 900 J/kg. C
a.) An aluminum rod has an initial length of Lo = 670 [mm] and has an...
a.) An aluminum rod has an initial length of Lo = 670 [mm] and has an initial temperature of 24.5o. At what value should the temperature be raised such that the rod would expand at a length of 672.01[mm]? The coefficient of thermal expansion of aluminum is 23.80x10^-6 Co. b.) Three rods made of copper, aluminum, and brass has the same initial length Lo. All rods expand to the same final length L when subjected to change temperature. Which of...
Experimental data: Length L0 of the cold rod (measured with a meter stick): 600 +/- 1...
Experimental data: Length L0 of the cold rod (measured with a meter stick): 600 +/- 1 mm Cross-sectional diameter d of the rod (measured with a caliper): 6.1 +/- 0.1 mm The change in length ∆L after the rod reached its final temperature: 1.04 +/- 0.01 mm The initial temperature of the rod (the room temperature): 22 +/- 1 ̊C The final temperature of the rod shown by the thermometer: 93 +/- 1 ̊C Linear thermal expansion coefficient calculation: 1)...
A cylindrical rod of length L extents from a base wall of constant temperature To. Inside...
A cylindrical rod of length L extents from a base wall of constant temperature To. Inside the rod heat is produced due to electrical dissipation at a constant volumetric rate of So. Tip of the fin is insulated. Ambient temperature is Ta and heat transfer coefficient h between rod and surroundings may be assumed constant. Calculate steady state temperature profile in the rod and rate of heat loss to the surroundings.
A metal rod that has a diameter of 1.0 cm and a length of 0.75 m...
A metal rod that has a diameter of 1.0 cm and a length of 0.75 m is stretched by 2.5 mm when subjected to a force of 115 kN (kilonewtons). Assuming that it remains in its elastic region, how much work would it take to compress this rod by 5.0 mm?
1. A metal rod 54.0 m long at 32°C is heated to 64°C. By how much...
1. A metal rod 54.0 m long at 32°C is heated to 64°C. By how much does the length of the rod change (in cm) if the coefficient of linear expansion of the rod is 32 x 10-6 1/°C? ?? cm 2. A metal rod 77.0 m long at 39°C is heated to 76°C. By how much does the length of the rod change (in cm) if the coefficient of linear expansion of the rod is 54 x 10-6 1/°C?...
What is the change in length of a metal rod with an original length of 4...
What is the change in length of a metal rod with an original length of 4 m, a coefficient of thermal expansion of 0.00002/ ° C, and a temperature change of 30° C? 1. 2.4 mm 2. 12 mm 3. 1.2 mm 4. 24 mm Determine the number of electrons passing through a point in the wire in 8 minutes when the current is 10 A. a. 3 * 1016 electrons b. none of these c. 4,800 electrons d. 1.6...
In a temperature of 15 ° C an iron rod has a length of 5 meters....
In a temperature of 15 ° C an iron rod has a length of 5 meters. What will its length be when the temperature increases to 25 ° C? Its linear coefficient α = 11.7 x 10-6 / ° C
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT