first calculate the partial derivatives of the two fromulas for each measured variable. Then you calculate the sum of the products of the errors (Dr, DR, and dh) with the squared corresponding partial derivative.and or the deviation
Example for the length of the mantle:
dm/dR = (R-r)/root(w)
dm/dr = -(R-r)/root(w)
dm/dh = h/root(w)
where w = (R-r)²+h². The squared derivatives are
(dm/dR)² = (R-r)²/w
When it comes to statistics and probability theory, standard deviation is used. It demonstrates the accuracy of your data and is used to measure both variability and diversity.
Standard deviation is calculated by taking the square root of the variance. In contrast to a high standard deviation, which indicates that the entered data points are most likely farther from the mean, a low standard deviation indicates that the entered data points are most likely closer to the mean
to learn more about deviation:
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Answer:
Explanation:
In case of rotational motion, every particle is rotated with a same angular velocity .
The relation between linear velocity and angular velocity is
V = r w
Where v is linear velocity, r is the radius of circular path and w be the angular velocity.
Here w is same for all the particles but every particle has different radius of circular path I which they are rotating, so linear velocity is differnet for all.
Answer: f = 927.55Hz
Explanation: Since the the tube is open-closed, the length of air and the wavelength of sound passing through the tube is given below
L = λ/4 where λ = wavelength.
speed of sound in air = v = 343m/s.
fundamental frequency of open closed tube = 315Hz
λ = 4L.
v = fλ
343 = 315 * 4L
343 = 1260 * L
L = 343/ 1260
L = 0.27m
In the same tube of length L = 0.27m but different medium ( helium), the speed of sound is 1010m/s.
The length of tube and wavelength are related by the formulae below
L = λ/4, λ=4L
λ = 4 * 0.27
λ = 1.087m.
v = fλ
1010 = f * 1.087
f = 1010/1.807
f = 927.55Hz
