1093 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 B.Tech Admissions 2026
Apply
Ranked #43 among Engineering colleges in India by NIRF | Highest Package 1.3 CR , 100% Placements
UPES Integrated LLB Admission...
Apply
Ranked #18 amongst Institutions in India by NIRF | Ranked #1 in India for Academic Reputation by QS Rankings | 16 LPA Highest CTC
Presidency University MBA Adm...
Apply
NAAC A+ Accredited | Highest CTC 10 LPA | Top Recruiters : Amazon, Accenture, KPMG, EY, Capgemini & many more
Nirma University Law Admissio...
Apply
Grade 'A+' accredited by NAAC | Ranked 33rd by NIRF 2025
UPES M.Tech Admissions 2026
Apply
Ranked #45 Among Universities in India by NIRF | 1950+ Students Placed 91% Placement, 800+ Recruiters
UPES | BBA Admissions 2026
Apply
#36 in NIRF, NAAC ‘A’ Grade | 100% Placement, up to 30% meritorious scholarships
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