First we need to convert the angular speed from rpm to rad/s. Keeping in mind that
the angular speed is
And so now we can calculate the tangential speed of the child, which is the angular speed times the distance of the child from the center of the motion:
Answer:
The linear charge density is 5.19 X 10⁻⁶ C/m
Explanation:
The potential difference between two cylinders, is given as
V = (λ/2πε)ln(b/a)
where;
λ is the line charge density on the power line.
b is the distance between the power line = 1 m
a is the radius of the wire = 1.5 cm = 0.015 m
ε is the permittivity of free space = 8.9 X 10⁻¹² C
V*2πε = λ* ln(b/a)
3900 *(2π*8.9 x10⁻¹²)= λ *ln(1/0.015)
2.1812 X 10⁻⁷ = 4.1997* λ
λ = 5.19 X 10⁻⁶ C/m
Therefore, the linear charge density is 5.19 X 10⁻⁶ C/m
Answer:
a) the frequency of the wave is 0.2 Hz
b) the speed of the wave 4 m/s
Explanation:
Given that;
time period = to complete one cycle t = 5 sec
frequency f = 1/t
frequency f = 1 / 5sec
f = 0.2 Hz
Therefore the frequency of the wave is 0.2 Hz
b)
speed of wave V = λf
given that our wavelength is 20.0 m
we substitute
speed of wave V = 20.0 × 0.2
speed of wave V = 4 m/s
Therefore, the speed of the wave 4 m/s
Answer:
Explanation:
The torque applied on an object can be calculated by the following formula:
where,
T = Torque
F = Applied Force
r = radius of the wheel
For car wheel:
For truck wheel:
Dividing both:
for the same force applied on both wheels:
where,
rt = radius of the truck steering wheel = 0.25 m
rc = radius of the car steering wheel = 0.19 m
Therefore,
Answer & Explanation:
We can model the amount of substance remaining, S, after time, t, with the equation
, where
A is the quantity at time t = 0.
Divide both sides by A and multiply by 100 to obtain % remaining after t minutes.
100xS/A = 100x0.5^(-t/3)
