Answer:
The inverse frequency is
Explanation:
Given that,
Magnetic field = 20 T
Proportionality constant = 5 Hz/T
Change in magnetic field = 3 T
We know that,

We need to calculate the inverse frequency
Using formula of frequency


Put the value into the formula


Hence, The inverse frequency is
The acceleration is the change of speed/velocity over time. Thus to calculate this you do (V1-V2)/T or (11.2-9.6)/4 or 0.4 m/s^2
Answer:
1.6 s
Explanation:
To find the time in which the potential difference of the inductor reaches 24V you use the following formula:

V_o: initial voltage = 60V
R: resistance = 24-Ω
L: inductance = 42H
V_L: final voltage = 24 V
You first use properties of the logarithms to get time t, next, replace the values of the parameter:

hence, after 1.6s the inductor will have a potential difference of 24V
Answer:
ω = 630.2663 = 630[rad/s]
Explanation:
Solution:
- We can tackle this question by simple direct proportion relation between angular speed for the disk to rotate a cycle that constitutes 20 holes. We will use direct relation with number of holes per cycle to compute the revolution per seconds i.e frequency of speed f.
1rev(20 hole) -> 20(cycle)/rev
2006.2(cycle) -> f ?
f = 2006.2/20 = 100.31rev at second
- The relation between angular frequency and angular speed is given by:
ω = 2πf
ω = 2*3.14*100.31
ω = 630.2663 = 630[rad/s]
Answer:
Weight W = 392.4 N
Density
= 784.31 
Specific gravity S = 0.78431
Force required F = 10 N
Explanation:
Given data
Mass (m) = 40 kg
Volume (V) = 0.051 
Weight W = m × g
⇒ W = 40 × 9.81
⇒ W = 392.4 N
This is the weight of the methanol.
Density
= 
⇒
= 
⇒
= 784.31 
This is the density of the methanol.
Specific gravity (S) = 
⇒ 
⇒ S = 0.78431
This is the specific gravity of the methanol.
Force needed to accelerate this tank F = ma
⇒ F = 40 × 0.25
⇒ F = 10 N
This is the force required to accelerate the tank.