Answer:
Finding time period of SHM from equation of displacement
Explanation:
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Say for example I've got the equation of a SHM as:
x=Acos(ωt+ϕ)
where A is the amplitude.
How do I find the time period of this motion?
I tried by finding the second order differential of the given equation.
a=d2xdt2=−Aω2cos(ωt+ϕ)
Comparing it with the general equation for acceleration a=−ω2x, we can find ω from here.
But that is where the problem is coming. It makes no sense if I write ω=ωA−−√.
What is the correct method to find the time period of the SHM? What am I missing?
There is a very simple mistake in your math. Notice A is part of x, it is factored so you'll get to ω=ω again. If you want to find a meaning to ωT=2π, consider the fact that cos (or sin) are periodic functions with period 2π. Hence, every time you have a time difference such that ω(t1−t2)=2π you are back at the same point. Hence the period is given by ωT=2π.
You do not because the theory is based on scientific facts and they use the facts to make the theory
Answer:
the action of polarizing or state of being or becoming polarized: such as the action or process of affecting radiation and especially light so that the vibrations of the wave assume a definite form. Polarization, in Physics, is defined as a phenomenon caused due to the wave nature of electromagnetic radiation. There are two types of waves, transverse waves, and longitudinal waves.
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Answer:
The energy conversion does not fully occur due to various energy losses.
Explanation:
There are many different types of batteries, but all have three basic components: positive electrode (cathode, or "positive terminal"), negative electrode (anode or "negative terminal"), and electrolyte.
Charging a battery forces ions from cathode to anode; the battery reverses the flow. Over a period of time, this process wears out cathode, which results in reduced capacity.
Also there can be heat loss inside the system as well which is produced by the conversion from chemical energy.
Hence the chemical energy does not fully convert to electrical energy.