Error in the measurement of radius of sphere
WebMar 27, 2024 · To calculate the radius r of a sphere given the surface area ( A ), rearrange the formula: A = 4 × π × r² To isolate the radius: r = √ [A / (4 × π)] Notice how the area of a sphere is exactly four times the area of … WebJan 1, 2004 · To measure the radius, a variant of the well known interferometric radius bench method is used. Careful alignment of phase measuring and displacement measuring interferometers enables us to achieve a standard measurement uncertainty for the sphere radius of about 5 parts in 10^7.
Error in the measurement of radius of sphere
Did you know?
WebFor a sphere, the volume V= (4/3)πr^3 Taking log, we get logV=3logr+log (4/3)π Differentiating both sides, we get dV/V=3 (dr/r) Since error in the measurement of … WebOct 15, 2024 · Question From – Cengage BM Sharma MECHANICS 1 DIMENSIONS & MEASUREMENT JEE Main, JEE Advanced, NEET, KVPY, AIIMS, CBSE, RBSE, UP, MP, BIHAR BOARDQUESTION TEX...
WebThe error in the measurement of the radius of a sphere is 1%. Find the error in the measurement of volume ? Medium Solution Verified by Toppr Error in radius 1 % … WebEXAMPLE 4 The radius of a sphere was measured and found to be 15 cm with a possible error in measurement of at most 0.04 cm. What is the maximum error in using this value of the radius to compute the volume of …
WebOct 15, 2024 · The error in the measurement of the radius of a sphere is `1%`. Find the error in the measuremen... Doubtnut 2.69M subscribers Subscribe 155 Share Save 9.6K … WebDec 10, 2024 · Due to the errors of the servo system and the errors of the ball screw drive system, the positioning errors inevitably occur in the process of CNC machine tools. The …
WebDec 17, 2024 · The percentage error in the measurement of the radius of a sphere is 1.5%. What would be the percentage error in the volume of the sphere ?
WebAIPMT 2008: If the error in the measurement of radius of a sphere is 2 %, then the error in the determination of volume of the sphere will be (A) 8 % rhyme words songWebAnswer (1 of 3): The area of a sphere is given by A = 4πr^2 where r is its radius. Now in terms of finite differences, ∆A = 8πr∆r (This can be obtained by differentiating A w.r.t. r getting dA/dr = 8πr. Denoting dA/dr by ∆A/∆r where ∆A and ∆r represent finite errors in A and rearranging one get... rhyme words of timeWebDec 10, 2024 · Due to the errors of the servo system and the errors of the ball screw drive system, the positioning errors inevitably occur in the process of CNC machine tools. The measurement of traditional equipment is limited by a fixed measurement radius and a single degree of freedom, which can only be measured within a fixed plane. In this paper, … rhyme words of songWebPoint cloud registration is a key process in multi-view 3D measurements. Its precision affects the measurement precision directly. However, in the case of the point clouds … rhyme words with catWeb2 days ago · The dimensionless contact radius is made to approaches zero such that it tends to the Green’s function model. The normal point force acts at the center of the plate, and the contact radius approaches zero. The variation rule followed by the internal stress distribution with the change in contact radius is plotted in Fig. 9. rhyme words with bestWebError in the measurement of radius of sphere is 1 %. Then the error in the measurement of volume is ? rhyme words to rapWebStep 2: Calculation of the change of the surface area of the sphere: Now, the Area of the sphere is given by. A = 4 π r 2. Differentiating both sides with respect to r; d A d r = 8 π r d A = 8 π r d r d A = 8 π r × 2 r 100 Δ A = d A = 16 π r 2 100. rhyme words there