Explanation:
we know that,
linear speed = circumference × revolution per minute
linear speed of belt = 2πr × revolution per minute
now we will compute the linear speed of a belt for 2 inch pulley that is,
linear speed for 2 inch pulley = (2π×2)×( 3 revolutions per minute) ∵ r =2
= 4π × 3 revolution per minute (1)
again we will compute the linear speed of a belt for 8 inch pulley,
linear speed of 8 inch pulley = (2π×8) × (x revolution per minute) ∵ r =8
= 16π×x revolutions per minute (2)
As the linear speed is same for both pulleys. by comparing equations (1) and (2).
4π×3 = 16π×x
x = 3/4
Thus, the revolutions per minute for the 8 inch pulley is 3/4.
Answer:
frequency is 195.467 Hz
Explanation:
given data
length L = 4.36 m
mass m = 222 g = 0.222 kg
tension T = 60 N
amplitude A = 6.43 mm = 6.43 × 
m
power P = 54 W
to find out
frequency f
solution
first we find here density of string that is
density ( μ )= m/L ................1
μ = 0.222 / 4.36
density μ is 0.050 kg/m
and speed of travelling wave
speed v = √(T/μ) ...............2
speed v = √(60/0.050)
speed v = 34.64 m/s
and we find wavelength by power that is
power = μ×A²×ω²×v / 2 ....................3
here ω is wavelength put value
54 = ( 0.050 ×(6.43 × )²×ω²× 34.64 ) / 2
0.050 ×(6.43 × )²×ω²× 34.64 = 108
ω² = 108 / 7.160 × 
ω = 1228.16 rad/s
so frequency will be
frequency = ω / 2π
frequency = 1228.16 / 2π
frequency is 195.467 Hz
Answer:
microscopic light or Nano technology
Answer: 2859.78 k
Explanation: By using the law of conservation of energy, the kinetic energy of the meteor equals the heat energy.
Kinetic energy = 1/2mv^2
Heat energy = mcΔθ
Where m = mass of meteor , v = velocity of meteor = 1623 m/s
c = specific heat capacity of meteor (iron) = 460.548 j/kg/k
Δθ = change in temperature of meteor = ?
From law ofconservation of energy, we have that
1/2mv^2 = mcΔθ
By cancelling "m" on both sides, we have that
v^2/2 = cΔθ
v^2 = 2cΔθ
(1623)^2 = 2× 460.548 × Δθ
2634129 = 921.096 × Δθ
Δθ = 2634129 / 921.096
Δθ = 2859.78 k
Take a purely random sample or to deliberately pick individuals who represents the various groups
