Answer:
3676.44 rad/min
Step-by-step explanation:
It is a problem about the angular speed of the car's wheel.
You can calculate the angular speed by using the following formula, which relates the tangential speed of the wheels (the same as the speed of the car) with the angular speed:
( 1 )
v: speed of the car = tangential speed of the wheels = 47mph
r: radius of the wheels = 27/2 in = 13.5 in
you change the units of the speed:
![47mph*\frac{63360in}{1mille}*\frac{1h}{60min}=49632\frac{in}{min}](https://tex.z-dn.net/?f=47mph%2A%5Cfrac%7B63360in%7D%7B1mille%7D%2A%5Cfrac%7B1h%7D%7B60min%7D%3D49632%5Cfrac%7Bin%7D%7Bmin%7D)
next, you replace the values of v and r in the equation (1):
![\omega=\frac{v}{r}=\frac{49632in/min}{13.5in}=3676.44\frac{rad}{min}](https://tex.z-dn.net/?f=%5Comega%3D%5Cfrac%7Bv%7D%7Br%7D%3D%5Cfrac%7B49632in%2Fmin%7D%7B13.5in%7D%3D3676.44%5Cfrac%7Brad%7D%7Bmin%7D)
Then, the car's tires are turning with an angular speed of 3676.44 rad/min
Answer:
see below
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
A = pi (6.5)^2
A =42.25 pi
If we approximate pi by 3.14
A = 42.25 * 3.14 =132.665
If we use the pi button
A = 132.7322896
The area of the trapezoid is 4.5cm
$249.......................................
Answer:
A) The fraction of sum of money did each child receive is
B) The sum of money did Jeff have $ 3200
Step-by-step explanation:
Given as :
Let The sum of money did Jeff have = $ x
The fraction of money did Jeff's wife get =
of $ x
The remaining money Jeff will have = $ x -
of $ x
I.e The remaining money Jeff will have =
=
A ) The remaining amount of money is divided equally among 4 children
So, The fraction of sum of money did each child receive = ![\frac{\frac{3 x}{4}}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B3%20x%7D%7B4%7D%7D%7B4%7D)
I.e The fraction of sum of money did each child receive =
B ) If each child will receive $ 600
∴,
= $ 600
Or, 3 x = $ 600 × 16
Or, 3 x = $ 9600
∴ x = ![\frac{9600}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B9600%7D%7B3%7D)
I.e x = $ 3200
So, The sum of money did Jeff have $ 3200
Hence ,
A) The fraction of sum of money did each child receive is
B) The sum of money did Jeff have $ 3200 Answer