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How does adding mass change the period of a spring?
You can figure this out theoretically by the equation T = 2π*sqrt(m/k). When you increase the m (mass) value, T (period) also increases. When you decrease the m value, T also decreases. For example: T = 2π*sqrt(1/2) T = 4.44s T = 2π*sqrt(3/2) T = 7.70s
What is the magnitude of the following vector 3i 4j?
The magnitude of the vector 3i + 4j is given by the formula |v| = sqrt((3^2) + (4^2)) = sqrt(9 + 16) = sqrt(25) = 5. Therefore, the magnitude of the vector is 5.
When th temperature of the air is 25 degrees C the velocity of a sound wave traveling through the air is approximately?
c = sqrt(adiabatic index*R*T) ~= sqrt(1.4*287*298) ~= 346 m/s.
A mass m at the end of a spring vibrates with a frequency of 0.88 Hz When an additional 680g mass is added to m the frequency is 0.60 Hz what is the value of m?
By Master Amir (UPSI) 1) Let k = force constant of the spring, M = mass attached to the end of the spring, f = frequency f = (1/2pi)*sqrt(k/M) When M = m, then f = 0.88 Hz Therefore, 0.88 = (1/2pi)*sqrt(k/m)-----------------------... When M = m+680 g = m + 0.68 kg, then f = 0.60 Hz Therefore, 0.60 = (1/2pi)*sqrt(k/(m + 0.68))----------------(2) Dividing (1) by (2):- 0.88/0.60 = sqrt(k/m)/sqrt(k/(m + 0.68)) Or 1.47 = sqrt((m + 0.68)/m) Or 1.47 = sqrt(1 + 0.68/m) Taking square on both sides: - 2.16 = 1 + 0.68/m Or 0.68/m = 2.16 - 1 Or 0.68/m = 1.16 Or m = 0.68/1.16 Or m = 0.586 kg = 586 g Ans: 586 g
How fast is a ball going when it hits the ground after being dropped from a height of 16m The acceleration of gravity is 9.8ms2?
The speed of the ball can be found using the kinematic equation: final velocity (Vf) = sqrt(2 * acceleration * distance). Plugging in the values, Vf = sqrt(2 * 9.8 * 16) = sqrt(313.6) ≈ 17.7 m/s.
What is 48 root 3?
48 root 3, or ( 48\sqrt{3} ), is a mathematical expression where 48 is multiplied by the square root of 3. The approximate numerical value of ( \sqrt{3} ) is about 1.732, so ( 48\sqrt{3} ) is roughly equal to 48 times 1.732, which is about 83.78. This expression is often used in geometry and trigonometry, particularly in calculations involving triangles.
What is mathematical or numerical expression?
It is a combination of numbers and variables, linked together by mathematical functions. For example sqrt(2y/3*7.34*pi) where y is some variable. Given the value(s) of the variable(s) it is possible to evaluate (find the value of) the expression.
What is the absolute value of 7i?
The absolute value is sqrt(72 + 12) = sqrt(49 + 1) = sqrt(50) or 5*sqrt(2) = 7.071 approx.
How does the function t(n) relate to the square root of n and the value of n in the given equation t(n) sqrt(n)t(sqrt(n)) n?
The function t(n) is related to the square root of n and the value of n in the equation t(n) sqrt(n)t(sqrt(n)) n. The function t(n) involves the square root of n and the value of n in a way that affects its overall output.
What is the value of sqrt 4x2?
sqrt(4x2) = ± 2x
What mathematical formulas is used to find the average value voltage for an ac voltage?
The RMS value of an AC voltage is VRMS = VPEAK / sqrt(2), where VPEAK = the voltage peak to neutral.AnswerThe average value of a sinusoidal a.c. voltage is zero.
What is the absolute value of the complex number 5 - 4i?
1
What is the absolute value of -7-5i?
-2
What is the absolute value of 7 5i?
The absolute value of 7± 5i = sqrt(72 + 52) = sqrt(49 + 25) = sqrt(74) = 8.602, approx.
What is the absolute value of 2 4i?
The absolute value of a complex number ( a + bi ) is given by the formula ( \sqrt{a^2 + b^2} ). For the complex number ( 2 + 4i ), the absolute value is calculated as follows: ( |2 + 4i| = \sqrt{2^2 + 4^2} = \sqrt{4 + 16} = \sqrt{20} = 2\sqrt{5} ). Thus, the absolute value of ( 2 + 4i ) is ( 2\sqrt{5} ).
What is value of square root of negative iota?
-i/sqrt(2) -i/sqrt(2)
What is the exact value of sine 15?
(sqrt(6)-sqrt(2))/4
