A rectangular piece of aluminum is 5.60 ± 0.01 cm long and 1.90 ± 0.01 cm wide.

Question

A rectangular piece of aluminum is 5.60 ± 0.01 cm long and 1.90 ± 0.01 cm wide. a) Find the area of the rectangle and the uncertainty in the area. b) Verify that the fractional uncertainty in the area is equal to the sum o the fractional uncertainties in the length and in the width A rectangular piece of aluminum is 5.60 ± 0.01 cm long and 1.90 ± 0.01 cm wide. a) Find the area of the rectangle and the uncertainty in the area. b) Verify that the fractional uncertainty in the area is equal to the sum o the fractional uncertainties in the length and in the width

Explanation / Answer

given rectangular piece of aluminium

l = 5.6+-0.01 cm

w = 1.9 +- 0.01 cm

a. A = lw = 10.64 cm^2

dA/A = dl/l + dw/w = 0.01/5.6 + 0.01/1.9

dA = 0.075 cm^2

A = 10.64 +- 0.075 cm^2

b. dA/A = 0.0070488721

dl/l = 0.00178571428

dw/w = 0.0052631578

hence

dA/A = dl/l + dw/w

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.