1083 Views

A ball of mass.0.4kg thrown upwards in air with a velocity 30m /s reaches the highest point in 2.5second. The air resistance encountered by


KARSANG YANI 11th Jul, 2019
Answer (1)
Ronak Gala Student Expert 11th Jul, 2019

You need to know the radius of the ball in order to determine the answer to this question. Mass is irrelevant to the drag equations. It would also be helpful to know the density of the air because it may change due to temperature and humidity.

The basic equation of drag is:

F_D = \frac{1}{2} \rho v^2 C_D A

F_D is the drag force.

\rho is the density of the fluid (in this case, air).

v is the speed of the object relative to the fluid.

C_D is the drag coefficient. For a sphere, it is C_D = .47 . ( Drag coefficient - Wikipedia )

A is the cross sectional area.

Given the ball has radius r the area A = \pi r^2 , therefore, the drag is:

F_D = \frac{1}{2} \rho (30 m/s)^2 .47 (\pi r^2)

At sea level and at 15 °C, air has a density of approximately 1.225 \; kg/m^3 .

F_D = \frac{1}{2} 1.225 \; kg/m^3 (30 m/s)^2 .47 (\pi r^2)

Finally, we get,

F_D = 813.947 pascals * r^2

Related Questions

UPES Integrated LLB Admission...
Apply
Ranked #28 amongst Institutions in India by NIRF | Ranked #1 in India for Academic Reputation by QS University Rankings | 16.6 LPA Highest CTC
SLAT 2025 - The Symbiosis Law...
Apply
Conducted by Symbiosis International (Deemed University) | Ranked #5 in Law by NIRF | Ranked #2 among best Pvt Universities by QS World Rankings
Jindal Global Law School Admi...
Apply
Ranked #1 Law School in India & South Asia by QS- World University Rankings | Merit cum means scholarships
Symbiosis Law School Pune Adm...
Apply
NAAC A++ Accredited | Ranked #5 by NIRF
Nirma University Law Admissio...
Apply
Grade 'A+' accredited by NAAC
ISBR Business School PGDM Adm...
Apply
180+ Companies | Highest CTC 15 LPA | Average CTC 7.5 LPA | Ranked as Platinum Institute by AICTE for 6 years in a row | Awarded Best Business Scho...
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books