Answer:
The critical angle is
Explanation:
From the question we are told that
The index of refraction of the glass in the fiber is
The index of refraction of the glass in the cladding is
The critical angle is mathematically evaluated as
substituting values
Answer:
The magnitude of the lift force L = 92.12 kN
The required angle is ≅ 16.35°
Explanation:
From the given information:
mass of the airplane = 9010 kg
radius of the airplane R = 9.77 mi
period T = 0.129 hours = (0.129 × 3600) secs
= 464.4 secs
The angular speed can be determined by using the expression:
ω = 2π / T
ω = 2 π/ 464.4
ω = 0.01353 rad/sec
The direction
θ = 16.35°
The magnitude of the lift force L = mg ÷ Cos(θ)
L = (9010 × 9.81) ÷ Cos(16.35)
L = 88388.1 ÷ 0.9596
L = 92109.32 N
L = 92.12 kN
Answer:
3) Ep = 13243.5[J]
4) v = 17.15 [m/s]
Explanation:
3) In order to solve this problem, we must use the principle of energy conservation. That is, the energy will be transformed from potential energy to kinetic energy. We can calculate the potential energy with the mass and height data, as shown below.
m = mass = 90 [kg]
h = elevation = 15 [m]
Potential energy is defined as the product of mass by gravity by height.
This energy will be transformed into kinetic energy.
Ek = 13243.5 [J]
4) The velocity can be determined by defining the kinetic energy, as shown below.
Answer:
= 38.89 m/s
Explanation:
speed of first car (u) = 80 km/h = 22.22 m/s
time (t) = 30 s
distance (d) = 500 m
find the speed of second car (v)
let the speed of the second car be represented as 'v'
We can get the speed of the second car from the formula net speed = distance between cars / time interval
where
- distance between cars = 500 m
- time interval = 30 s
- net speed = v-22.22 (since both cars move in the same direction)
- substituting the above into the formula we have
v-22.22 = 500 / 30
v = 500/30 + 22.22
v = 38.89 m/s
Answer:
a) 431 Hz
b) 429 Hz
c) 403 Hz
Explanation:
The frequency you heard is calculated using the relation
f = f(s) / [1 - (v(s)/v) ]
f = 400 / [1 - 25/343]
f = 400 / (1 - 0.0729)
f = 400 / 0.9271
f = 431.5 Hz
The frequency your friend starts hearing is
f = f(s) * [1 + (v(s)/v) ]
f = 400 * [1 + 25/343]
f = 400 * (1 + 0.0729)
f = 400 * 1.0729
f = 429.2 Hz
when you're next to each other and you are hearing 3 beats per second. The frequency you're singing is 400 + 3 Hz
403 Hz