Converting Between Degrees and Radians

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What is the value of 1 radian in degrees?

45°
57.3° (correct)
30°
15°

What is the angular displacement of an object that rotates from 30° to 150°?

210°
180°
150°
120° (correct)

What is the angular velocity of an object that rotates 30° in 2 seconds?

30 rad/s
30°/s
15°/s (correct)
15 rad/s

How many radians are in 360°?

2π (C) Signup and view all the answers

What is the SI unit of angular displacement?

Radian (B) Signup and view all the answers

What is the formula for converting degrees to radians?

θ(rad) = θ(deg) × π / 180° (B) Signup and view all the answers

Who challenged the prevailing belief that all celestial bodies revolved around the Earth?

Galileo Galilei (B) Signup and view all the answers

What is the significance of Kepler's third law?

It relates the orbital period of a planet to its distance from the Sun (D) Signup and view all the answers

Which of the following scientists did not contribute to the understanding of rotational motion?

Aristotle (A) Signup and view all the answers

What is the formula described by Newton's second law of motion?

F = ma (D) Signup and view all the answers

Who discovered four moons orbiting Jupiter?

Galileo Galilei (C) Signup and view all the answers

What is the primary contribution of Galileo Galilei to our understanding of rotation?

Observing the moons of Jupiter (A) Signup and view all the answers

What is the formula to calculate the angular velocity of a wheel?

ω = θ/t (B) Signup and view all the answers

What is the unit of the angular velocity?

rad/s (B) Signup and view all the answers

What is the formula to calculate the moment of inertia of a rod?

I = mr² (C) Signup and view all the answers

What is the unit of the moment of inertia?

kg·m² (D) Signup and view all the answers

What is the formula to calculate the angular acceleration of an object?

α = ωf - ωi / t (B) Signup and view all the answers

What is the angular acceleration of an object moving in a circular path at a constant speed?

Zero (B) Signup and view all the answers

What is the primary purpose of rotational motion in manufacturing processes?

To achieve precision and efficiency in production (D) Signup and view all the answers

What is the significance of rotational kinematics in construction?

It is crucial for safe and efficient construction operations (B) Signup and view all the answers

What is the application of rotational motion in sports science?

To improve athletic performance and prevent injuries (B) Signup and view all the answers

What is the formula to calculate angular displacement?

θ = s / r (D) Signup and view all the answers

If a wheel makes 12 revolutions in 15 seconds, what is the frequency of the wheel?

0.8 Hz (C) Signup and view all the answers

What is the unit of angular displacement?

Radian (A) Signup and view all the answers

What is the primary function of satellite communication technology?

To facilitate land and maritime communications (B) Signup and view all the answers

What is the unit of angular acceleration in the given solution?

rad/s² (B) Signup and view all the answers

What is the primary focus of the textbook 'Satellite Communications: System and Its Design Technology'?

Digital satellite communication (C) Signup and view all the answers

What is the objective of the laboratory activity 'The Spin on Things Spinner, Spinning Top Challenge'?

To explain the relationship between mass and radius in angular momentum (C) Signup and view all the answers

What is the type of satellite orbit discussed in the textbook?

Low Earth orbiting (LEO) and geosynchronous Earth orbiting (GEO) (D) Signup and view all the answers

What is the significance of the law of conservation of angular momentum in the laboratory activity?

It is a fundamental principle in understanding angular momentum (B) Signup and view all the answers