Using partial derivatives, calculate the propagated uncertainty in the mass in the following case: given the centripetal force Fc = (20.0 ± 0.5) N, the angular velocity w = (29.2 ± 0.3) rad/s, and the radius R = (0.12 ± 0.01) m get the mass value,m = Fc / (w2R). Express the result in the form m = m + Δm

Q: Find the absolute and percent relative uncertainty 9.43 (+-0.05) X {[6.2 (+-0.2) X 10^-3] + [4.1…

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Q: If F1=2N, and F2= 3.4N, α1=500, α2=400.  The value of  FR by  Cos law is:

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Q: x is defined as follows: x=a.b¹√c a = 23, u(a) = 0.3 b = 320, u(b) = 4 c = 45, u(c) = 1 Which…

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A: The quantities are  i) a=5.6543612 , a'=5.5543612Absolute…

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Q: Calculate the uncertainty δP of its perimeter P = 2(l+w) in mm.

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Q: (B) if r = tî + t'j + (t-1)ķ and S = 2tî + 6tk, evaluate r.S dt S dt

A: Given data: Given vector is, r→ = ti^ +t2j^ + t-1k^S→ = 2t2i^ + 6tk^ Formula used: Dot product of…

Q: e absolute uncertainty

A: Absolute uncertainty in x,y,z is ∆x,∆y,∆z

Q: An angle is measured to be 109.0±0.6deg. What is the absolute uncertainty in the sine of the angle?

A: Given data: Angle θ=109.0±0.6°

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A: Let's solve the problem in Cartesian coordinate system. Given

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Q: Evaluate the commutator[L, L,·Ly]. (a) ħ²Lx (b) 0 (c) ħ²L, (d) ħ²L₂

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Q: Step 1 Rewrite the original integral Therefore, Set دارد) + 16 t (12)2 + 42 (2) ot = (- dt as Step 2…

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Q: c) In order to measure the density of a new developed material shaped in a (L=2, W=3, H=1) cm…

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Q: If actual value of f(x1)=0,56 and the approximate value of f(x1)=0,6, calculate the relative error?

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Q: A car accelerates uniformly from rest and travels a distance of (100 ± 1) m. If the acceleration of…

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Q: 3.31. ★★ (a) An angle is measured as 125 ± 2°, and this value is used to com- pute sin 0. Using the…

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Q: 0¹ 00 9 8 7 6 6 4 3 2 1 9 7 6 6 4 3 2 1.00cm (14.55cm, 18.25cm) 0.60cm 1.40cm 0,40cm (5.40cm,…

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Q: Suppose that Vsound = (32 + 7) x 101 m/s and that we want to find the temperature in Kalvin by using…

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Q: 3.32 Let D = 2pz*a, + p cos? pa. Evaluate (a) $, D · dS (b) S, V · Ddv over the region defined by 0…

A: Given data, D→=2ρz2ρ^+ρcos2ϕz^ where, 0≤ρ≤5, -1≤z≤1, 0≤ϕ<2π

Q: Suppose we use the same force measurements above and were pulling a 1.3 kg mass block. Using the…

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Q: If x = 4.32 ± 0.04 and y = 2.98 ± 0.02, calculate the absolute uncertainty in z = 3xy. Report your…

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Q: An atom of iron has a radius of  156. pm  and the average orbital speed of the electrons in it is…

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Density of Solids

The density of a substance refers to how much matter is present in a given amount of space. It is expressed as the ratio of the mass of the substance to its volume.