Answer:
Temperature when sound wave with wavelength 0.47m has frequency 741 hz is 188 degrees Centigrade.
Step-by-Step Explanation:
Given:
Speed of sound at 0 degrees centigrade = 235 ms
frequency = f = 741 hz
wavelength = w = 0.47m
speed of sound wave = wavelength * frequency = 741 * 0.47 = 348.27 m/s
Using the formula for speed of sound at a specific temperature:
Speed of sound at T degrees Centigrade = Speed of sound at 0 degrees + 0.6 * T
When speed of sound is 348 m/s, the temperature is given by:
348 = 235 + 0.6(T)
T = (348-235)/0.6
T = 188 degrees Centigrade
In a completely inelastic collision, the two objects stick together after the collision.
Answer:
576 joules
Explanation:
From the question we are given the following:
weight = 810 N
radius (r) = 1.6 m
horizontal force (F) = 55 N
time (t) = 4 s
acceleration due to gravity (g) = 9.8 m/s^{2}
K.E = 0.5 x MI x ω^{2}
where MI is the moment of inertia and ω is the angular velocity
MI = 0.5 x m x r^2
mass = weight ÷ g = 810 ÷ 9.8 = 82.65 kg
MI = 0.5 x 82.65 x 1.6^{2}
MI = 105.8 kg.m^{2}
angular velocity (ω) = a x t
angular acceleration (a) = torque ÷ MI
where torque = F x r = 55 x 1.6 = 88 N.m
a= 88 ÷ 105.8 = 0.83 rad /s^{2}
therefore
angular velocity (ω) = a x t = 0.83 x 4 = 3.33 rad/s
K.E = 0.5 x MI x ω^{2}
K.E = 0.5 x 105.8 x 3.33^{2} = 576 joules
Answer:
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Explanation:
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