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Terminal velocity

A rain drop of radius 1.5 mm, experience a drag force F=(1210

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A rain drop of radius $1.5$ mm, experience a drag force $F = (12 \times 1 0^{- 5} v) N$ , while falling through air from a height $2$ km, with a velocity v. The terminal velocity of the rain drop will be nearly $(u se g = 10 m / s^{2})$

Name: Video solution 1: A rain drop of radius 1.5 mm, experience a drag force F=(12×10−5v)N, while falling through air from a height 2 km, with a velocity v. The terminal velocity of the rain drop will be nearly (useg=10m/s2)
Uploaded: 2022-06-06T05:15:21.000Z
Duration: 7 min
Description: Video solution 1: A rain drop of radius 1.5 mm, experience a drag force F=(12×10−5v)N, while falling through air from a height 2 km, with a velocity v. The terminal velocity of the rain drop will be nearly (useg=10m/s2)

200

m/s

80

m/s

7

m/s

3

m/s

Views: 8,919 students

Updated on: Jun 6, 2022

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Elizabeth Discussed

A rain drop of radius

1.5

mm, experience a drag force

F = (12 \times 1 0^{- 5} v) N

, while falling through air from a height

2

km, with a velocity v. The terminal velocity of the rain drop will be nearly

(u se g = 10 m / s^{2})

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

R = 1.5 mm = 0.0015 m

A = π r^{2} = 3.14 (0.0015)^{2} = 7.06 \times 10^{- 6 m_{2}}

M = P \times V = p \times 4/3 π R^{3} = 1000 \times 4/3 \times 3.14 \times (0.0015)^{3}

= 1.413 \times 10^{- 5} k g

V_{T er mina l} = \frac{2 m g}{pF A} = \frac{2 \times 1.413 \times 10 ^{- 5} \times 9.8}{0.5 \times 12.5 \times 7.06 \times 10 ^{- 6}}

V_{T er mina l} = 0.792 m / s = 2.85 km / h r

= 200 m / s

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Question Text	A rain drop of radius $1.5$ mm, experience a drag force $F = (12 \times 1 0^{- 5} v) N$ , while falling through air from a height $2$ km, with a velocity v. The terminal velocity of the rain drop will be nearly $(u se g = 10 m / s^{2})$
Updated On	Jun 6, 2022
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	253
Avg. Video Duration	7 min

A rain drop of radius $1.5$ mm, experience a drag force $F = (12 \times 1 0^{- 5} v) N$ , while falling through air from a height $2$ km, with a velocity v. The terminal velocity of the rain drop will be nearly $(u se g = 10 m / s^{2})$

Text solutionVerified

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A rain drop of radius 1.5 mm, experience a drag force F=(12×10−5v)N, while falling through air from a height 2 km, with a velocity v. The terminal velocity of the rain drop will be nearly (useg=10m/s2)

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A rain drop of radius $1.5$ mm, experience a drag force $F = (12 \times 1 0^{- 5} v) N$ , while falling through air from a height $2$ km, with a velocity v. The terminal velocity of the rain drop will be nearly $(u se g = 10 m / s^{2})$