What is the angular displacement of 1.6 revolutions? Round to the nearest tenth.
There are 2 pi radians or 360 degrees in a revolution.
You have not said what units you want for the angle
radians please
1 revolution=2*pi radians
1.6*2*3.1415926535=10,0530964912 radians
nearest tenth=10 radians
thankyou!
To find the angular displacement of 1.6 revolutions, we need to know the relationship between revolutions and angular displacement.
The angular displacement is a measure of the amount of rotation an object has undergone. In circles, the unit for angular displacement is usually degrees or radians.
A revolution is equal to a full circle, which is 360 degrees or 2π radians.
So, to find the angular displacement of 1.6 revolutions, we can multiply the number of revolutions by 360 degrees or 2π radians.
Let's calculate it:
Angular displacement in degrees = 1.6 revolutions * 360 degrees/revolution
Angular displacement in radians = 1.6 revolutions * 2π radians/revolution
Using a calculator, we can perform these calculations:
Angular displacement in degrees = 1.6 * 360 = 576 degrees
Angular displacement in radians = 1.6 * 2 * π ≈ 10.053 radians
Rounding to the nearest tenth:
Angular displacement in degrees ≈ 576 degrees (nearest tenth)
Angular displacement in radians ≈ 10.1 radians (nearest tenth)
Therefore, the angular displacement of 1.6 revolutions, rounded to the nearest tenth, is 576 degrees or 10.1 radians.