The period of oscillation of a sinusoidal signal is T=(98±2) ms. What is the uncertainty on the frequency?
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- The highest frequency that we can hear is about 20 kHz (2x 10^4Hz). a) Calculate the wavelength (m) associated with this frequency for sound that travels at 345 m/s. b) How long is this in feet? (Roundanswers to the nearest tenth.What is “fractional error” for the following formula? Z= 2/3 X2Y3 , X= 7m , Y= 4m, σx=0.2m , σy=0.1m σZ=?Please Asap
- Calculate the uncertainty using the equation below and find the answer.A student is examining a bacterium under the microscope. The E. coli bacterial cell has a mass of m = 0.300 fg (where a femtogram, fg, is 10−15g) and is swimming at a velocity of v = 9.00 μm/s , with an uncertainty in the velocity of 6.00 % . E. coli bacterial cells are around 1 μm ( 10−6 m) in length. The student is supposed to observe the bacterium and make a drawing. However, the student, having just learned about the Heisenberg uncertainty principle in physics class, complains that she cannot make the drawing. She claims that the uncertainty of the bacterium's position is greater than the microscope's viewing field, and the bacterium is thus impossible to locate. What is the uncertainty of the position of the bacterium? Express your answer with the appropriate units (m).Your video analysis of the motion of a marble gives it position in frame 23 as (x23 , Y23) = (0.134 m, 0.120 m) and its position in frame 24 as (24 , Y24) = (0.102 m, 0.112 m). You estimate that you can measure the r and y positions with uncertainty ±0.003 m. The frame rate of the video is 30 frames/s, which means the time interval between frames is At = 0.033333 s. The uncertainty of the frame rate of a video camera is VERY small. For the sake of this problem, use 8(At) = 1 x 10 s. The mass of the marble is (2.031 0.001) x 10 2 kg.
- Function f is defined by 5 = 21 @where a = 4.35 # 0.04 and y = 1.25 # 0.03 Calculate the absolute uncertainty in f. Specify your answer up to 3 decimal places.1. Use the data of three trials with the launcher in a horizontal position to determine average, standard deviation and uncertainty of both time and range. Table 1: Trial Time t_(s) Range Ax_(m) 1 0.2049 0.963 0.2114 0.972 3. 0.2083 1.009 Average 0.2082 0.981 Standard deviation Uncertainty Check: Measure the height of ncher H with your ruler: H = 21.4 cm calculate the theoretical time of flight: Is the above value in good agreement with the average time from table 1? Explain. 2. Using the data in Table 1 calculate the initial speed vo= Axevezse/toveurs Initial speed Xe= (units:An engineer uses a stopwatch to measure the duration of an event. The digital stopwatch reading shows 0.77 s. (a) What uncertainty is implied by the reading itself without any other knowledge? (b) Suppose the stopwatch manufacturer specifications state an error of up to 1% of the reading. What value of uncertainty might you state with the reading? (c) Suppose the engineer adds an uncertainty of 0.05 s due to reaction time. What uncertainty might you state with the reading?