D. A magnetic field created by the electric current causes the compass needle to move.
Answer:
The transverse component of acceleration is 26.32
where as radial the component of acceleration is 8.77 ![m/s^2](https://tex.z-dn.net/?f=m%2Fs%5E2)
Explanation:
As per the given data
u=π/4 rad
ω=u'=2 rad/s
α=u''=4 rad/s
![r=e^u](https://tex.z-dn.net/?f=r%3De%5Eu)
So the transverse component of acceleration are given as
![a_{\theta}=(ru''+2r'u')\\](https://tex.z-dn.net/?f=a_%7B%5Ctheta%7D%3D%28ru%27%27%2B2r%27u%27%29%5C%5C)
Here
![r=e^u\\r=e^{\pi/4}\\r=2.1932 m](https://tex.z-dn.net/?f=r%3De%5Eu%5C%5Cr%3De%5E%7B%5Cpi%2F4%7D%5C%5Cr%3D2.1932%20m)
![r'=e^u.u'\\r'=2.1932 \times 2\\r'=4.3864 m](https://tex.z-dn.net/?f=r%27%3De%5Eu.u%27%5C%5Cr%27%3D2.1932%20%5Ctimes%202%5C%5Cr%27%3D4.3864%20m)
So
![a_{\theta}=(ru''+2r'u')\\a_{\theta}=(2.1932\times 4+2\times 4.3864 \times 2)\\a_{\theta}=26.32 m/s\\](https://tex.z-dn.net/?f=a_%7B%5Ctheta%7D%3D%28ru%27%27%2B2r%27u%27%29%5C%5Ca_%7B%5Ctheta%7D%3D%282.1932%5Ctimes%204%2B2%5Ctimes%204.3864%20%5Ctimes%202%29%5C%5Ca_%7B%5Ctheta%7D%3D26.32%20m%2Fs%5C%5C)
The transverse component of acceleration is 26.32 ![m/s^2](https://tex.z-dn.net/?f=m%2Fs%5E2)
The radial component is given as
![a_r=r''-r\theta'^2](https://tex.z-dn.net/?f=a_r%3Dr%27%27-r%5Ctheta%27%5E2)
Here
![r''=e^u.u'^2+e^u u''\\r''=2.1932 \times (2)^2+2.1932\times 4\\r''=17.5456 m](https://tex.z-dn.net/?f=r%27%27%3De%5Eu.u%27%5E2%2Be%5Eu%20u%27%27%5C%5Cr%27%27%3D2.1932%20%5Ctimes%20%282%29%5E2%2B2.1932%5Ctimes%204%5C%5Cr%27%27%3D17.5456%20m)
So
![a_r=r''-ru'^2\\a_r=17.5456-2.1932\times (2)^2\\a_r=8.7728 m/s^2](https://tex.z-dn.net/?f=a_r%3Dr%27%27-ru%27%5E2%5C%5Ca_r%3D17.5456-2.1932%5Ctimes%20%282%29%5E2%5C%5Ca_r%3D8.7728%20m%2Fs%5E2)
The radial component of acceleration is 8.77 ![m/s^2](https://tex.z-dn.net/?f=m%2Fs%5E2)
1. "<span>Physical models are usually in the form of a graph" is the statement among the statements given about physical models that is not true. The correct option among all the options that are given in the question is the third option or option "c".
2. "Predicting weather patterns" is the one among the following scenarios that </span>represents the best use of a scientific model. <span>The correct option among all the options that are given in the question is the first option or option "a".</span>
Answer:
<h2>2.4</h2>
Explanation:
<h2><em>Hope it help mark as Brainlist</em></h2>