Enable contrast version

Tutor profile: Rahil V.

Inactive
Rahil V.
Tutor for 8 years, Physics and Applied Mathematics PhD
Tutor Satisfaction Guarantee

Questions

Subject: Calculus

TutorMe
Question:

Find $$dy/dx$$ if $$y=\sqrt{\sin(x)}$$

Inactive
Rahil V.
Answer:

Let $$u=\sin(x)$$, then we have $$y=\sqrt{u}=u^{1/2}$$. So, $$\frac{dy}{du}$$ $$=\frac{1}{2}u^{-1/2}$$ $$=\frac{1}{2\sqrt{u}}$$. Now,$$\frac{du}{dx}=\cos(x)$$. Now, $$\frac{dy}{dx} = \frac{dy}{du} \times \frac{du}{dx} $$. Hence, $$\frac{dy}{dx} = \frac{1}{2\sqrt{u}} \times \cos(x)$$ Therefore, $$\frac{dy}{dx} = \frac{\cos(x)}{2\sqrt{\sin(x)}} $$.

Subject: Physics

TutorMe
Question:

If a feather and a hammer are both dropped from the same height on Earth then which one would reach the ground first? What would happen if the same experiment was carried out on Moon?

Inactive
Rahil V.
Answer:

Lets start with the Moon. Since the Moon does not have any atmosphere, both the feather and the hammer would fall down with the same acceleration which is the gravitational acceleration of the moon. Hence, they will both reach the ground at the same time. This experiment has been done by astronauts who visited the moon (https://www.youtube.com/watch?v=KDp1tiUsZw8&ab_channel=AIRBOYD). On Earth, due to air resistance, the feather will experience a high drag force that was absent on the moon, This will result in the hammer reaching the ground first compared to the feather.

Subject: Aerospace Engineering

TutorMe
Question:

How do airplanes fly and why do racing cars have spoilers?

Inactive
Rahil V.
Answer:

An airplane flies due to an upward force, called lift, generated by the wings. If one were to cut an airplane wing and look at the cross section then one would see the shape of an airfoil. When air flows around the airfoil, the air on the upper surface flow faster compared to the air on the bottom surface. This creates lower pressure on the upper surface compared to the bottom surface. This pressure difference gives rise to a force that acts from high pressure to low pressure i.e. pointing in the upward direction. This is the lift force that makes an airplane fly. The cross section of the spoiler of a racing car is an upside down airfoil. So when air flows over it, now the bottom surface has lower pressure compared to the top surface giving rise to a downward force. This downward force helps keep the racing car stuck to the ground when the car is turning at high speeds.

Contact tutor

Send a message explaining your
needs and Rahil will reply soon.
Contact Rahil

Request lesson

Ready now? Request a lesson.
Start Lesson

FAQs

What is a lesson?
A lesson is virtual lesson space on our platform where you and a tutor can communicate. You'll have the option to communicate using video/audio as well as text chat. You can also upload documents, edit papers in real time and use our cutting-edge virtual whiteboard.
How do I begin a lesson?
If the tutor is currently online, you can click the "Start Lesson" button above. If they are offline, you can always send them a message to schedule a lesson.
Who are TutorMe tutors?
Many of our tutors are current college students or recent graduates of top-tier universities like MIT, Harvard and USC. TutorMe has thousands of top-quality tutors available to work with you.
BEST IN CLASS SINCE 2015
TutorMe homepage
Made in California by Zovio
© 2013 - 2021 TutorMe, LLC
High Contrast Mode
On
Off