What is the approximate uncertainty in the area of a circle of radius 4.3×10^4 cm? Express your answer using one significant figure.
Solution)
We know, Area A = π R^2
Let uncertainty in the radius be 0.1 * 10^4 cm
And, ΔA / A = 2 ΔR/ R
ΔR = 0.1 *10^4 cm
ΔA = 2 A ΔR / R
= 2 (5.8*10^10) (0.1E4) / (4.3E4) = 2.7 E8 cm^2 (Ans)
=======
Good luck! Please rate
What is the approximate uncertainty in the area of a circle of radius 4.3×10^4 cm? Express...
What is the relative uncertainty of an area of a circle (in percentage, one significant digit) if the diameter is measured to be 4.0 cm and the uncertainty in the diameter measurement is 0.1 cm?
what, roughly, is the percent uncertainty in the volume of a spherical beach ball whose radius is r = 5.32 Express your answer using one significant figure 0.06 m? AV specified Submit Request Answer
The radius of a circle is measured to be 11.6 0.4 m. (a) Calculate the area of the circle including its uncertainty Enter a number. differs from the correct answer by more than 10%. Double check your calculations. (b) Calculate the circumference of the circle including its uncertainty.
Determine the location x of the centroid C of the shaded area that is part of a circle having a radius r = 0.5 m . Take a : 40 . (Figure 1) Express your answer to three significant figures and include the appropriate units. Value Units Submit Request Answer We were unable to transcribe this image
Determine the location x of the centroid C of the shaded area that is part of a circle having a radius r =...
A uniform electric field of magnitude 6.6 N/C passes through a circle of radius 13 cm. A) What is the electric flux through the circle when its face is perpendicular to the field lines? Express your answer using two significant figures. B) What is the electric flux through the circle when its face is at 45∘ to the field lines? Express your answer using two significant figures. C) What is the electric flux through the circle when its face is...
The radius of a circle is measured to be 11.6 t0.4 m (a) Calculate the area of the circle including its uncertainty Enter a number differs from the correct answer by more than 10%. Double check your calculations, m (b) Calculate the circumference of the circle including its uncertainty.
5. The radius of a circle is measured to be (24.0 0.5) cm. Calculate its area and estimate the uncertainty. [3 points] 6. Mass of a crate of apple is measured to be (18.0 t0.2) kg. Calculate the mass of 15 such crates of apple and estimate the uncertainty in the total mass. [3 points 7. An angle is measured to be 0 43.0 t0.5o. Calculate the quantity nand sin θ [5 points] estimate the uncertainty 8. Calculate λ and...
Constants Time intervals measured with a stopwatch typically have an uncertainty of about 0.2 s, due to human reaction time at the start and stop moments. PartA What is the percent uncertainty of a handtimed measurement of 4 s? Express your answer using one significant figure. Submit Request Answer Part B What is the percent uncertainty of a handtimed measurement of 90 s? Express your answer using one significant figure. Submit Request Answer Part C What is the percent uncertainty...
What, roughly, is the percent uncertainty in the volume of a spherical beach ball whose radius is r = 0.94 ±0.06 m ? Express your answer using two significant figures.
Protons move in a circle of radius 7.50 cm in a 0.507-T magnetic field. What value of electric field could make their paths straight? Express your answer using three