Answer:
75 rad/s
Explanation:
The angular acceleration is the time rate of change of angular velocity. It is given by the formula:
α(t) = d/dt[ω(t)]
Hence: ω(t) = ∫a(t) dt
Also, angular velocity is the time rate of change of displacement. It is given by:
ω(t) = d/dt[θ(t)]
θ(t) = ∫w(t) dt
θ(t) = ∫∫α(t) dtdt
Given that: α (t) = (6.0 rad/s4)t² = 6t² rad/s⁴. Hence:
θ(t) = ∫∫α(t) dtdt
θ(t) = ∫∫6t² dtdt =∫[∫6t² dt]dt
θ(t) = ∫[2t³]dt = t⁴/2 rad
θ(t) = t⁴/2 rad
At θ(t) = 10 rev = (10 * 2π) rad = 20π rad, we can find t:
20π = t⁴/2
40π = t⁴
t = ⁴√40π
t = 3.348 s
ω(t) = ∫α(t) dt = ∫6t² dt = 2t³
ω(t) = 2t³
ω(3.348) = 2(3.348)³ = 75 rad/s
<h3><u>Answer;</u></h3>
Frequency
<h3><u>Explanation;</u></h3>
- <em><u>Waves are disturbances that travel through a material medium. There are several characteristics of waves, which includes; wavelength, frequency, period and amplitude. </u></em>
- Amplitude is the maximum displacement of wave particles, or simply the height of the wave, measured in meters.
- Wavelength is the distance between adjacent crests or troughs in a transverse wave or between two successive rarefaction or compressions in a longitudinal wave, measured in meters.
- Period is the time it takes for one complete wave to pass a given point, measured in seconds.
- <em><u>Frequency is the number of complete waves or cycles that pass a point in one second, measured is inverse seconds, or Hertz (Hz).</u></em>
The heat form the Mylar outside her window may transfer the heat to the walls. Which then tanker the heat inside Lucia’s home.
Laws and theories are similar in that they are both scientific statements that result from a tested hypothesis and are supported by scientific evidence.
Answer:
-2.5 is the answer to your question
