Knowing that: T=2π√(L/g). Calculate: The mean value of T (with 3 significant digits): T = The mean value of L (2 significant digits): L = The probable random error of T with the respective unit: Ea(T) = The random error of L with the respective unit:

Q: The length and width of a rectangular room are measured to be 3.764 + 0.005 m and 4.030 + 0.005 m.…

A: As all the-given values are of three significant decimal digits so answer should also be rounded off…

Q: A student measures the dimensions of a rectangular slab of marble to be 112.64 cm by 3.21 cm by 0.02…

A:

Q: A distance R is measured to be 5.400±0.003m. What is the absolute uncertainty in R^-2?

A: Given: R=5.400±0.003m Require: absolute uncertainty in R-2.

Q: calculate the slope and uncertainty in the slope.

A: By using simple formula of slope,1st we calculate slope.then find uncertainty of slope.

Q: An equation for potential energy states U = Mgh. If U is in kg·m^2 ·s−2, M is in kg, and g is in m…

A:

Q: ALCULATE CALCULATE       Mass Density ρ= m/V (grams/cm^3)  Volume , V=(π*(d^2)* t)/4 (cm^3)

A: Given,   Relative Uncertainty in mass δm/m (%) Relative Uncertainty in Diameter δd/d (%) Relative…

Q: A spring that has a spring constant of k = 181.0 N/m is oriented vertically, with one end on the…

A: Given data:  Spring constant (k) = 181.0 N/m Mass (m) = 2.33 kg Required: The compression in spring…

Q: Use the "Common Metric Prefix "Chart on your Math Review homework to convert 1 um to meters.

A: We know that1μ=10-6                    11cm=10-2m                 2

Q: Put the following number in scientific notation, using the number of significant figures listed in…

A: Given : 235,000

Q: When you perform the following operations, how many significant figures should your answer have?…

A: Operation to be performed : (4.0005×105) + (8.000×102)

Q: The metric system originated in France in 1791 as the ___________________________   None of the…

A: 1. The system was initially called the "Decimal System of Measures" when it was first introduced in…

Q: Vx (V) Lx (cm) 0.4 10 1 30 1.5 50 1.8 60 2.1 70 2.7 90 2. Using Table 6.1 plot a graph between…

A: 2) Given, From table 6.1 Vx Lx 0.4 10 1 30 1.5 50 1.8 60 2.1 70 2.7 90   And graph…

Q: How many years older will you be 1.00 terasecond(Ts) from now? (Assume a 365-day year.

A: 1 min = 60s 1 hour = 60m 1 day  = 24 hour 1year = 365 day 1 year = 365×24×60×60s= 31536000

Q: The mass of an electron is (9.11)(10-31) kilogram, and the mass of a proton is (1.67)(10-27)…

A: Mass of the electron, me=9.11×10-31 kg Mass of the proton, mp=1.67×10-27 kg

Q: vo (m/s) θ (º) vx (m/s) vy (m/s) t 1/2 (s) Δx (m) Δy (m) tT (s) 20 30…

A: The chart represents the motion of an object in a circular track, we can find the x and y components…

Q: How do I find the slope or if my graph is correct

A:

Q: Rank these SI distance units from smallest to largest: μm, am, fm, nm, mm, cm, m, km, Gm, Tm, Mm,…

A: Rank these SI distance units from smallest to largest: μm, am, fm, nm, mm, cm, m, km, Gm, Tm, Mm,…

Q: I measured the length of something to be ℓ=236.2±12.3cm.  Which is the correct way to round this…

A: At the time of rounding the final measurement with uncertainty few rules need to be followed.  (1)…

Q: What is the length of the object in cm?

A: Required : The length of the object.

Q: Convert 150 cm1.5 to an equivalent number of m1.5, given that 100 cm = 1 m   Give your answer to 2…

A: It is given that, 1 cm=10-2 m. It is required to convert 150 cm1.5 into m1.5.

Q: The diameter of a hydrogen atom is 0.00 000 000 012 m. Express this measurement using SI prefix to 3…

A: From the rule of Significant figures we find that, Trailing Zeros that are not used to hold the Zero…

Q: A patient’s temperature was 97.0 °F at 8:05 A.M. and 103.4 °F at 12:05 P.M. If the temperature…

A:

Q: The Moon's diameter is 3.5 ✕ 106. What is the coefficient?   What is the exponent?   The length of a…

A: Given, Moon's diameter is 3.5 ✕ 106. and  length of a small mosquito is 3.5 ✕ 10−3 m.

Q: B. Measurement of Length 1. 2. 3. Measurement 1 0 0 2 2 10 10 cm 0.1 mm 3 cm 0.1 mm 20 cm Value H m…

A:

Q: A patient’s temperature was 97.0 °F at 8:05 A.M. and 101.0 °F at 12:05 P.M. If the temperature…

A: Temperature was 97.0 °F at 8:05 A.M.  And 101.0 °F at 12:05 P.M. Temperature at 3:35 P.M. = ?

Q: Given the following graph, calculate the slope and uncertainty in the slope. Period vs length T (s)…

A: From the graph, x1,y1=16.05cm,22.60cmx2,y2=6.60cm,3.70cm ∆y=0.6 cm Determine the slope as below.…

Q: what is the absolute uncertainty in f=(x+y z)? Report your answer to two decimal places.

A:

Q: Question 5 What is the reading of the following Micrometer (in mm)? 444 07.84+0.005 05.34+0.005…

A: Least count of micrometer = 0.01 mm. Linear scale reading = 7 mm. Circular scale reading= 34

Q: Name two length units that are longer than a metre. What is their relationship to the metre?

A: Name two length units that are longer than a metre. What is their relationship to the metre?

Q: Given points M(27, -27, -3) and N(5, -1, 17), aMN = _____. (Using 4 decimal places, answer in this…

A:

Q: Applying the rules of significant figures and calculate 1. 123.4 + 120 + 4.822 -21 2.…

A: To calculate : using the rules of significant figures

Q: A car takes time t=(2.5±0.1) s to travel a distance Ax=(0.922±0.001) m. What is the relative…

A:

Q: figure below. The +- 5.00 µC charges form a dipole. Find the force (magnitude and direction) the-…

A:

Q: State how many significant figures are proper in the results of the following calculations. (a)…

A: Given Data: (a) (36.84)(265)(46.210)(1.8618)(b). (20.0)2(c). (2.9×10-19)(3712) To Determine: (a).…

Q: The units for energy are kgm^2/s^2. What units must the constant A have in the following…

A:

Q: After carrying out some calculations (based on experimental data) your calculator shows that the…

A: Given: The mass of the object is 178.54968 g. The uncertainty in the mass is ±25.0163482 g.…

Q: A patient’s temperature was 97.0 °F at 8:05 A.M. and 102.0 °F at 12:05 P.M. If the temperature…

A: As the patient’s temperature change with respect to elapsed time was linear throughout the day so…

Q: 6. Express the number in decimal: 1.52 x 10^-2 0.00152 0.152 0.0152 0.000152 7. Express the number…

A: 6) Explanation: The exponent is -2, converting it to  10 to the power of inverse 2. When an exponent…

Q: Given that Ã+ B = x₁ Î+Y₁Ĵ and ì B = x₂Î +⁄₂Î, what is ?

A: Addition of two vectors is A→+B→=x1i^+y1j^ Subtraction of the same vectors is A→-B→=x2i^+y2j^ Find:…

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,…

A: Solution: The slope of the best line (middle solid line ) is calculated below,…

Q: Instrument Ruler Quantities Diameter Units Meas #1 Meas #2 Meas #3 Meas #4 Meas #5 Meas #6 # 0.011…

A: We know, If we measure diameter (d) then we can easily calculate radius (r). So, after calculating…

Q: The diameter of a disk was measured by the micrometer (in mm) shown. The area of the disk (in mm2)…

A:

Q: 27.03 cm X 3.3 x 104 g X 83 mph X 3.33 x 10-3 mL X 75 µm x 4°C X 12 miles x 2.9 g X 11.7 mg X 3.62 x…

A:

Q: A = 2 X 1025, B = 4.5 X 10-10, C = 3 X 10-6. AB/C = ?       (2) ACB = ?       (3) The Moon…

A: Given,  A = 2 X 1025, B = 4.5 X 10-10, C = 3 X 10-6.

Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.