Answer:
Explanation:
Inductance = 250 mH = 250 / 1000 = 0.25 H
capacitance = 4.40 µF = 4.4 × 10⁻⁶ F ( µ = 10⁻⁶)
ΔVmax = 240, f frequency = 50Hz and I max = 110 mA = 110 /1000 = 0.11A
a) inductive reactance = 2πfl = 2 × 3.142 × 50 × 0.25 H =78.55 ohms
b) capacitive reactance = = 1 / ( 2 × 3.142× 50 × 4.4 × 10⁻⁶ ) = 723.34 ohms
c) impedance = = 240 / 0.11 = 2181.82 ohms
Answer:
S = 0.5 km
velocity of motorist = 42.857 km/h
Explanation:
given data
speed = 70 km/h
accelerates uniformly = 90 km/h
time = 8 s
overtakes motorist = 42 s
solution
we know initial velocity u1 of police = 0
final velocity u2 = 90 km/h = 25 mps
we apply here equation of motion
u2 = u1 + at
so acceleration a will be
a =
a = 3.125 m/s²
so
distance will be
S1 = 0.5 × a × t²
S1 = 100 m = 0.1 km
and
S2 = u2 × t
S2 = 25 × 16
S2 = 400 m = 0.4 km
so total distance travel by police
S = S1 + S2
S = 0.1 + 0.4
S = 0.5 km
and
when motorist travel with uniform velocity
than total time = 42 s
so velocity of motorist will be
velocity of motorist =
velocity of motorist =
velocity of motorist = 42.857 km/h
The maximum Speed of the Sprinter from the velocity time graph of his motion is; 11.98 m/s
<h3>How to find the maximum speed?</h3>
We are given;
Initial Speed; u = 2.5 s
Total distance; d = 100 m
Total time; T = 9.6 s
The total distance is;
d = ¹/₂(9.6 + (9.6 - 2.5) * v
where v is maximum speed.
Thus;
¹/₂(9.6 + (9.6 - 2.5) * v = 100
16.7v = 200
v = 200/16.7
v = 11.98 m/s
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Answer:
Explanation:
Given data:
length of Steel bolt
Length of aluminium cylinder
Pitch of bolt p = 1mm
Modulus of elasticity of steel E = 215 GPa
Modulus of elasticity of aluminium = 74 GP
Area of bolt
Area of cylinder = 2300 mm^2
n =1
By equilibrium
By the compatibility
Displacement in steel is
Displacement in Aluminium is
from compatibility equation we have
substitute
Stress in Aluminium
Sound requires a medium to travel. Sound cannot travel in vacuum in space while light can. Therefore, the receiver from earth receives only light sent from moon, not sound.
Explanation:
- Sound is created by vibrations that requires medium to travel. The medium can be solid, liquid, or gas. Whatever it is, a medium is required.
- In space, there is no solid, liquid, or gas. In other words, it is vacuum. Sound waves cannot travel through vacuum.
- Light waves, on the other hand, can travel through vacuum. Hence, if the transmitter on moon emits sound waves and light waves, receiver from earth picks only the light waves.