Help me please. Radian (question 15)

  • Thread starter gcombina
  • Start date
In summary, the equation that is valid only when the angular measure is expressed in radians is d) ω = Vt/r. This is because the formula for angular velocity, ω, is only valid when the angular measure is in radians. The other options, a), b), c), and e), involve angular acceleration (α) which can be expressed in both radians and degrees. Therefore, d) is the only equation that is specifically dependent on the angular measure being in radians.
  • #1
gcombina
157
3

Homework Statement


Which equation is valid only when the angular measure is expressed in radians?

a) α = Δθ / Δt

b) ω= Δω / Δt

c) ω^2 = ωo^2 + 2αθ

d) ω = Vt/r (here T is a subscript)

e) θ = 1/2αt^2 + ωαt

Answer is D but why??

Homework Equations

The Attempt at a Solution


a) α = Δθ / Δt

Can we please go over each option?

OK looking at option a, it does give me an alpha so I don't know what to think of this. Then it says (Alpha = Change of angle/change in time). This seems to be the formula for "angular velocity" but what is alpha? can we go over this first? what is alpha?
 
Physics news on Phys.org
  • #2
a) and b) are typos. a) should be "##\omega=##" and b) should be "##\alpha=##". ##\alpha## is angular acceleration.
Does the answer make sense now?
 

Related to Help me please. Radian (question 15)

1. What is Radian?

Radian is a unit of measurement used to measure angles in mathematics and science. It is defined as the angle formed at the center of a circle by an arc whose length is equal to the radius of the circle.

2. How do you convert degrees to radians?

To convert degrees to radians, you can use the formula: radians = (degrees x π) / 180. You can also use a calculator to convert between the two units.

3. What is the difference between degrees and radians?

The main difference between degrees and radians is the unit of measurement. Degrees are based on a scale of 360, while radians are based on a scale of 2π. Radians are often used in more advanced mathematics and physics calculations.

4. Can you provide an example of how to use radians in a real-life scenario?

One example of using radians in a real-life scenario is measuring the angle between two objects, such as the hands on a clock. In this case, radians would be used to calculate the arc length between the two objects.

5. How are radians related to trigonometric functions?

Radians are closely related to trigonometric functions, such as sine, cosine, and tangent. These functions use radians as their input value, and the output is a ratio of the sides of a right triangle. Radians are also used in the formula for calculating the circumference of a circle (C = 2πr).

Similar threads

(P.15) Angular Measure expressed in radians
    • Introductory Physics Homework Help
Replies
5
Views
6K
Can someone explain this to me please?
    • Introductory Physics Homework Help
Replies
2
Views
1K
Which Equation Requires Radians to Be Valid?
    • Introductory Physics Homework Help
Replies
2
Views
826
Acceleration of the cart on a Ferris Wheel (Circular Motion)
    • Introductory Physics Homework Help
Replies
11
Views
1K
Relating Uncertainty in Time to Uncertainty in Wavelength
    • Introductory Physics Homework Help
Replies
1
Views
2K
Find the average angular acceleration of the sprinter
    • Introductory Physics Homework Help
Replies
2
Views
3K
Find the net work required to accelerate a cylinder
    • Introductory Physics Homework Help
Replies
7
Views
5K
Need a little push. [Simple Physics Problems]
    • Introductory Physics Homework Help
Replies
2
Views
1K
Angular Position, Speed, and Acceleration of a Swinging Door at t=0s and t=3.10s
    • Introductory Physics Homework Help
Replies
15
Views
2K
Find Angular Velocity when given Angular Acceleration?
    • Introductory Physics Homework Help
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top