A flat line means the the speed is the same . Its moving at the same pace.
Answer:
![21.6\ \text{kg m}^2](https://tex.z-dn.net/?f=21.6%5C%20%5Ctext%7Bkg%20m%7D%5E2)
![3.672\ \text{Nm}](https://tex.z-dn.net/?f=3.672%5C%20%5Ctext%7BNm%7D)
![54.66\ \text{revolutions}](https://tex.z-dn.net/?f=54.66%5C%20%5Ctext%7Brevolutions%7D)
Explanation:
= Torque = 36.5 Nm
= Initial angular velocity = 0
= Final angular velocity = 10.3 rad/s
t = Time = 6.1 s
I = Moment of inertia
From the kinematic equations of linear motion we have
![\omega_f=\omega_i+\alpha_1 t\\\Rightarrow \alpha_1=\dfrac{\omega_f-\omega_i}{t}\\\Rightarrow \alpha_1=\dfrac{10.3-0}{6.1}\\\Rightarrow \alpha_1=1.69\ \text{rad/s}^2](https://tex.z-dn.net/?f=%5Comega_f%3D%5Comega_i%2B%5Calpha_1%20t%5C%5C%5CRightarrow%20%5Calpha_1%3D%5Cdfrac%7B%5Comega_f-%5Comega_i%7D%7Bt%7D%5C%5C%5CRightarrow%20%5Calpha_1%3D%5Cdfrac%7B10.3-0%7D%7B6.1%7D%5C%5C%5CRightarrow%20%5Calpha_1%3D1.69%5C%20%5Ctext%7Brad%2Fs%7D%5E2)
Torque is given by
![\tau=I\alpha_1\\\Rightarrow I=\dfrac{\tau}{\alpha_1}\\\Rightarrow I=\dfrac{36.5}{1.69}\\\Rightarrow I=21.6\ \text{kg m}^2](https://tex.z-dn.net/?f=%5Ctau%3DI%5Calpha_1%5C%5C%5CRightarrow%20I%3D%5Cdfrac%7B%5Ctau%7D%7B%5Calpha_1%7D%5C%5C%5CRightarrow%20I%3D%5Cdfrac%7B36.5%7D%7B1.69%7D%5C%5C%5CRightarrow%20I%3D21.6%5C%20%5Ctext%7Bkg%20m%7D%5E2)
The wheel's moment of inertia is ![21.6\ \text{kg m}^2](https://tex.z-dn.net/?f=21.6%5C%20%5Ctext%7Bkg%20m%7D%5E2)
t = 60.6 s
= 10.3 rad/s
= 0
![\alpha_2=\dfrac{0-10.3}{60.6}\\\Rightarrow \alpha_1=-0.17\ \text{rad/s}^2](https://tex.z-dn.net/?f=%5Calpha_2%3D%5Cdfrac%7B0-10.3%7D%7B60.6%7D%5C%5C%5CRightarrow%20%5Calpha_1%3D-0.17%5C%20%5Ctext%7Brad%2Fs%7D%5E2)
Frictional torque is given by
![\tau_f=I\alpha_2\\\Rightarrow \tau_f=21.6\times -0.17\\\Rightarrow \tau=-3.672\ \text{Nm}](https://tex.z-dn.net/?f=%5Ctau_f%3DI%5Calpha_2%5C%5C%5CRightarrow%20%5Ctau_f%3D21.6%5Ctimes%20-0.17%5C%5C%5CRightarrow%20%5Ctau%3D-3.672%5C%20%5Ctext%7BNm%7D)
The magnitude of the torque caused by friction is ![3.672\ \text{Nm}](https://tex.z-dn.net/?f=3.672%5C%20%5Ctext%7BNm%7D)
Speeding up
![\theta_1=0\times t+\dfrac{1}{2}\times 1.69\times 6.1^2\\\Rightarrow \theta_1=31.44\ \text{rad}](https://tex.z-dn.net/?f=%5Ctheta_1%3D0%5Ctimes%20t%2B%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%201.69%5Ctimes%206.1%5E2%5C%5C%5CRightarrow%20%5Ctheta_1%3D31.44%5C%20%5Ctext%7Brad%7D)
Slowing down
![\theta_2=10.3\times 60.6+\dfrac{1}{2}\times (-0.17)\times 60.6^2\\\Rightarrow \theta_2=312.03\ \text{rad}](https://tex.z-dn.net/?f=%5Ctheta_2%3D10.3%5Ctimes%2060.6%2B%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20%28-0.17%29%5Ctimes%2060.6%5E2%5C%5C%5CRightarrow%20%5Ctheta_2%3D312.03%5C%20%5Ctext%7Brad%7D)
Total number of revolutions
![\theta=\theta_1+\theta_2\\\Rightarrow \theta=31.44+312.03=343.47\ \text{rad}](https://tex.z-dn.net/?f=%5Ctheta%3D%5Ctheta_1%2B%5Ctheta_2%5C%5C%5CRightarrow%20%5Ctheta%3D31.44%2B312.03%3D343.47%5C%20%5Ctext%7Brad%7D)
![\dfrac{343.47}{2\pi}=54.66\ \text{revolutions}](https://tex.z-dn.net/?f=%5Cdfrac%7B343.47%7D%7B2%5Cpi%7D%3D54.66%5C%20%5Ctext%7Brevolutions%7D)
The total number of revolutions the wheel goes through is
.
Answer:
Volt
Explanation:
Voltage is what makes electric charges move. ... Voltage is also called, in certain circumstances, electromotive force (EMF). Voltage is an electrical potential difference, the difference in electric potential between two places. The unit for electrical potential difference, or voltage, is the volt.
The ohm is defined as an electrical resistance between two points of a conductor when a constant potential difference of one volt, applied to these points, produces in the conductor a current of one ampere, the conductor not being the seat of any electromotive force.
The coulomb (symbolized C) is the standard unit of electric charge in the International System of Units (SI). ... In terms of SI base units, the coulomb is the equivalent of one ampere-second. Conversely, an electric current of A represents 1 C of unit electric charge carriers flowing past a specific point in 1 s.
An ampere is a unit of measure of the rate of electron flow or current in an electrical conductor. One ampere of current represents one coulomb of electrical charge (6.24 x 1018 charge carriers) moving past a specific point in one second.
Answer:
Final momentum after a head on collision is -2kgm/s
Explanation:
One ball moves to the right and the other moves opposite and momentum is a vector quantity so that considering the direction
Initial momenta are P₁=2x3=6kgm/s P₂=4x(-2)=-8kgm/s
Final momentum is the vector sum of P(final)= 6-8= -2 kgm/s