Answer:

1994.7944465 miles
46390568.5227 miles
125 ft
Explanation:


The distance is 


Converting to inches

Converting to miles

The distance is 1994.7944465 miles

The distance is 46390568.5227 miles



The distance is 125 ft
Answer:
A = 26.875 rad/s²
Explanation:
<u>Given the following data;</u>
Initial angular speed, Uw = 150 rads/s.
Final angular speed, Vw = 580 rads/s.
Time = 16 seconds.
To calculate the angular acceleration;
From kinematics equation;
At = Vw - Uw
Where;
- A is the angular acceleration.
- t is the time
- Vw is the final angular speed.
- Uw is the initial angular speed.
Substituting into the formula, we have;
A*16 = 580 - 150
16A = 430
A = 430/16
<em>A = 26.875 rad/s²</em>
Answer:
50 kg
Explanation:
f=ma
Force = mass x acceleration
490 = 9.8 x m
m = 50 kg
Answer:
The value is 
Explanation:
From the question we are told that
The force is
The linear mass density is
Generally the speed of the wave on the string is mathematically represented as

=> 
=> 
Answer:
a) w = 873 rev, b) θ = 97.75 rev
Explanation:
This is a rotation kinematics exercise
w = w₀ + α t
θ = θ₀ + w₀ t + ½ α t²
let's start by reducing the magnitudes to the SI system
w₀ = 300 rpm (2pi rad / 1 rev) (1 min / 60s) = 31.42 rad / s
α = 6 rad / s²
a) let's look for the angular velocity
w = 31.42 + 6 10
w = 91.42 rad / s
b) θ₀ = 0
θ = 0 + 31.42 to + ½ 6 10²
θ = 614.2 rad
As they ask for the result in rpm and revolutions, let's carry out the reduction
w = 91.42 rad / s (1 rev / 2pi rad) (60 s / 1min)
w = 873 rev
θ = 614.2 rad (1 rev / 2pi rad)
θ = 97.75 rev