Answer:
109656.25 Nm
Explanation:
= Final angular velocity = 1.5 rad/s
= Initial angular velocity = 0
= Angular acceleration
t = Time taken = 6 s
m = Mass of disk = 29000 kg
r = Radius = 5.5 m
Torque is given by
The torque specifications must be 109656.25 Nm
I can't find the attached circuit.
Maximum power transfer occurs when the load impedance
is equal to the internal impedance of the power source.
Lets assume that s is the speed of the slower train and f is the speed of the faster train.
s = f - 16
f = 150 / t
s = 170 / ( t+2 )
-----------------------
170 / ( t+2 ) = 150 / t - 16 / t * ( t + 2 )
170 t = 150 * ( t + 2 ) - 16 t * ( t + 2 )
170 t = 150 t + 300 - 16 t² - 32 t
16 f² + 52 t - 300 = 0 / : 4 ( We will divide both sides of the equation by 4 )
4 t² + 13 t - 75 = 0
t 1/2 = ( -13 + √(169 + 1200 ) )/ 8
t = ( - 13 + 37 ) / 8 = 24 / 8 = 3
t = 3 h
s = 170 : ( 3 + 2 ) = 170 : 5 = 34 mph
Answer: The speed of the slower train is 34 mph.
Answer:
the cost to leave the lights on 24 hours a day for one year is 31,536 cents or 315.36 dollars
Explanation:
Given that;
P = 300 watts = 300/1000 = 0.3
t = 24hrs a day
In a calendar year, we have 365 days
so;
E = 0.3 × 365 × 24
E = 2628 KWh
given that; 1 KWh = 12 cent
then 2628 KWh is x
x = 2628 × 12
x = 31,536 cents or 315.36 dollars
Therefore, the cost to leave the lights on 24 hours a day for one year is 31,536 cents or 315.36 dollars
