Answer:
3k mph
Explanation:
don't take my answer it is wrong
Answer:
The magnitude of angular acceleration of the motor is
.
Explanation:
Given that,
Initial angular velocity, ![\omega_i=90\ rad/s](https://tex.z-dn.net/?f=%5Comega_i%3D90%5C%20rad%2Fs)
Final angular velocity, ![\omega_f=30\ rad/s](https://tex.z-dn.net/?f=%5Comega_f%3D30%5C%20rad%2Fs)
Angular displacement, ![\theta=180\ rad](https://tex.z-dn.net/?f=%5Ctheta%3D180%5C%20rad)
Let
is the magnitude of the angular acceleration of the motor. It can be calculated using third equation of rotational kinematics as :
![\omega_f^2-\omega_i^2=2\alpha \theta\\\\\alpha =\dfrac{\omega_f^2-\omega_i^2}{2\theta}\\\\\alpha =\dfrac{30^2-90^2}{2\times 180}\\\\\alpha =-20\ rad/s^2](https://tex.z-dn.net/?f=%5Comega_f%5E2-%5Comega_i%5E2%3D2%5Calpha%20%5Ctheta%5C%5C%5C%5C%5Calpha%20%3D%5Cdfrac%7B%5Comega_f%5E2-%5Comega_i%5E2%7D%7B2%5Ctheta%7D%5C%5C%5C%5C%5Calpha%20%3D%5Cdfrac%7B30%5E2-90%5E2%7D%7B2%5Ctimes%20180%7D%5C%5C%5C%5C%5Calpha%20%3D-20%5C%20rad%2Fs%5E2)
So, the magnitude of angular acceleration of the motor is
.
Answer:
2 secs; 65 feet
Explanation:
The function guiding the water bottle is given as:
f(x) = -16t² + 64t + 1
The bottle will reach maximum height when velocity, df/dt (velocity is the first derivative of distance) = 0.
Therefore:
df/dt = 0 = -32t + 64
=> 32t = 64
t = 64/32 = 2 seconds
This is the time it will take to reach the maximum height.
To find this height, we insert t = 2 into the function f(x):
f = -16(2)² + 64(2) + 1
f = -(16 * 4) + 128 + 1
f = -64 + 128 + 1
f = 65 ft
Its maximum height is 65 ft.
A) A storage battery is charged using an electric current.