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A Pelton wheel turbine operates under a head of 125 m at a speed of 2000 rpm. To operate very close to the maximum efficiency, the mean diameter of the Pelton wheel is nearly
  • a)
    24 cm
  • b)
    48 cm
  • c)
    12.5 cm
  • d)
    36 cm
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A Pelton wheel turbine operates under a head of 125 m at a speed of 2...
Assuming ideal nozzle
Vjet = √2 × g × 12.5
= 49.5 m⁄s
For maximum η bucket speed (u) must be
u = 1 / 2 × Vjet = 24.76
Also u = πdN / 60
Substituting values we get
d = 0.236 m ≈ 24 cm
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Most Upvoted Answer
A Pelton wheel turbine operates under a head of 125 m at a speed of 2...
To find the mean diameter of the Pelton wheel turbine, we need to use the formula for its rotational speed in terms of the head and diameter of the wheel.

The formula for the rotational speed of a Pelton wheel turbine is given by:

N = (60 * V) / πD

Where:
N = rotational speed in rpm
V = velocity of the jet in m/s
D = diameter of the wheel in meters

We are given that the head is 125 m and the rotational speed is 2000 rpm.

First, let's calculate the velocity of the jet using the formula:

V = √(2gH)

Where:
g = acceleration due to gravity (9.81 m/s^2)
H = head in meters

V = √(2 * 9.81 * 125) = 49.5 m/s

Now, let's substitute the values into the formula for rotational speed and solve for the diameter of the wheel:

2000 = (60 * 49.5) / (πD)

D = (60 * 49.5) / (π * 2000) = 0.472 m

Since the diameter is given in cm in the answer options, we convert the diameter to cm:

D = 0.472 * 100 = 47.2 cm

From the answer options given, the closest diameter is 48 cm, which corresponds to option B.

Therefore, the correct answer is option B.

Note: There may be a slight difference in the final answer due to rounding off during calculations.
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A Pelton wheel turbine operates under a head of 125 m at a speed of 2000 rpm. To operate very close to the maximum efficiency, the mean diameter of the Pelton wheel is nearlya) 24 cmb) 48 cmc) 12.5 cmd) 36 cmCorrect answer is option 'A'. Can you explain this answer?
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