determine the area of a rectangular sheet with length (1.50+-0.02)m and width (0.20+-0.01)m. calculate the area (A+-ΔA)
Answers
Answer:
answer is (0.3±0.019)
Answer:
answer is (0.30m2 , +-0.02m2)
Explanation:
Given
l = 1.50 m
∆ = 0.02 m
w = 0.20 m
∆ = 0.01m
Find out
(i) Area A
(ii) Uncertainty in Area ∆A
Solution
Area = length x width
= 1.50 m x 0.20 m
= 0.30 m2
(ii) Uncertainty in Area ∆A
Percentage uncertainty in A = Percentage uncertainty in l + Percentage uncertainty in w
∆/ x100 = ∆/ x100 + ∆/ x100
∆/ x100 = "0.02" /"1.50" x100 + "0.01" /"0.20" x100
∆/ x100 = 1.3 + 5
∆/ x100 = 6.3
∆ x100 = 6.3 x A
∆ = "6.3 x A " /100
∆ = "6.3 x 0.30" /100
∆ = 0.0189 m2
∆ = 0.02 m2
A = ("0.30"± 0.02)m2