Answer:
-0.314 rad/s²
197.39 m/s²
197.49 m/s² and 1.822° counterclockwise.
Explanation:
= Final angular velocity
= Initial angular velocity
= Angular acceleration
= Angle of rotation
t = Time taken
R = Radius = 20 m
![\omega_i=0.5\times 2\pi\\\Rightarrow \omega_i=\pi](https://tex.z-dn.net/?f=%5Comega_i%3D0.5%5Ctimes%202%5Cpi%5C%5C%5CRightarrow%20%5Comega_i%3D%5Cpi)
![\omega_f=\omega_i+\alpha t\\\Rightarrow \alpha=\frac{\omega_f-\omega_i}{t}\\\Rightarrow \alpha=\frac{0-\pi}{10}\\\Rightarrow a=-0.314\ rad/s^2](https://tex.z-dn.net/?f=%5Comega_f%3D%5Comega_i%2B%5Calpha%20t%5C%5C%5CRightarrow%20%5Calpha%3D%5Cfrac%7B%5Comega_f-%5Comega_i%7D%7Bt%7D%5C%5C%5CRightarrow%20%5Calpha%3D%5Cfrac%7B0-%5Cpi%7D%7B10%7D%5C%5C%5CRightarrow%20a%3D-0.314%5C%20rad%2Fs%5E2)
Angular acceleration of the turbine is -0.314 rad/s²
Centripetal acceleration
![a_c=\omega_i^2R\\\Rightarrow a_c=(\pi)^2\times 20\\\Rightarrow a_c=197.39\ m/s^2](https://tex.z-dn.net/?f=a_c%3D%5Comega_i%5E2R%5C%5C%5CRightarrow%20a_c%3D%28%5Cpi%29%5E2%5Ctimes%2020%5C%5C%5CRightarrow%20a_c%3D197.39%5C%20m%2Fs%5E2)
The centripetal acceleration of the tip is 197.39 m/s²
Tangential acceleration
![a_t=\alpha R\\\Rightarrow a_t=-0.314\times 20\\\Rightarrow a_t=-6.28\ m/s^2](https://tex.z-dn.net/?f=a_t%3D%5Calpha%20R%5C%5C%5CRightarrow%20a_t%3D-0.314%5Ctimes%2020%5C%5C%5CRightarrow%20a_t%3D-6.28%5C%20m%2Fs%5E2)
Acceleration
![a=\sqrt{a_c^2+a_t^2}\\\Rightarrow a=\sqrt{197.39^2+(-6.28)^2}\\\Rightarrow a=197.49\ m/s^2](https://tex.z-dn.net/?f=a%3D%5Csqrt%7Ba_c%5E2%2Ba_t%5E2%7D%5C%5C%5CRightarrow%20a%3D%5Csqrt%7B197.39%5E2%2B%28-6.28%29%5E2%7D%5C%5C%5CRightarrow%20a%3D197.49%5C%20m%2Fs%5E2)
![\theta=tan^{-1}\frac{|a_t|}{|a_c|}\\\Rightarrow \theta=tan^{-1}\frac{6.28}{197.39}\\\Rightarrow \theta=1.822^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3Dtan%5E%7B-1%7D%5Cfrac%7B%7Ca_t%7C%7D%7B%7Ca_c%7C%7D%5C%5C%5CRightarrow%20%5Ctheta%3Dtan%5E%7B-1%7D%5Cfrac%7B6.28%7D%7B197.39%7D%5C%5C%5CRightarrow%20%5Ctheta%3D1.822%5E%7B%5Ccirc%7D)
Magnitude and direction of the total linear acceleration of the tip of the blades is 197.49 m/s² and 1.822° counterclockwise.
V=D/T - formula for speed
88 km/h = D / 0.75 hours - multiply speed and time
66 km= D
D is distance
D= 66 km
Hope this helps
Answer:
The SI unit of current is ampere which measures the flow of electric charge across a surface at the rate of one coulomb per second.