A machine part is initially rotating at 0.500 rad/s. Its rotation speeds up with constant angular acceleration 2.50 rad/s2. Through what angle has the machine part rotated when its angular speed equals 3.25 rad/s

The angle through which the machine part has rotated is 2.0625 rad

Explanation:

Given;

initial angular speed, ωi = 0.500 rad/s

angular acceleration, α = 2.50 rad/s².

Final  angular speed, ωf = 3.25 rad/s

Apply kinematic equation;

ωf² = ωi² + 2αθ

where;

θ is the angle through which the machine part has rotated

3.25² = 0.5² + (2 x 2.5)θ

10.5625 = 0.25 + 5θ

5θ = 10.5625 - 0.25

5θ = 10.3125

θ = 10.3125/5

θ = 2.0625 rad

Therefore, the angle through which the machine part has rotated is 2.0625 rad

= initial pressure

= final pressure = 2

= initial volume

= final volume = /4

= initial temperature = 20 c = 20 + 273 = 293 k

= final temperature = ?

using the equation

the answer is false. this is because for ice to melt, it requires latent heat of melting. latent heat means heat energy required to change phase without any increase in temperatures. therefore, the ice will take energy from the environment to melt hence atmospheric temperatures will reduce.