Answer:
a) 3 inch pulley: 11,309.7 radians/min
6) 6 inch pulley: 5654.7 radians/min
b) 900 RPM (revolutions per minute)
Step-by-step explanation:
Hi!
When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ. Then the tangential speed V is related to angular speed ω as:
When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:
We need to convert RPM to radias per minute. One revolution is 2π radians, then:
The saw rotates with the same angular speed as the 6 inch pulley: 900RPM
Answer:
3.2 x 10^13
Step-by-step explanation:
(8x10^4)(4x10^8)
reorder the terms using the commutative property
(8x4)x(10^4x10^8)
multiply
32x (10^4 x 10^8)
= 32 x 10^4+8
= 32 x 10^12
now convert to scientific notation
=3.2 x 10^13
Answer:
x=5.2
Step-by-step explanation:
8x−14=7.7x+3x
Step 1: Simplify both sides of the equation.
8x−14=7.7x+3x
8x+−14=7.7x+3x
8x−14=(7.7x+3x)(Combine Like Terms)
8x−14=10.7x
8x−14=10.7x
Step 2: Subtract 10.7x from both sides.
8x−14−10.7x=10.7x−10.7x
−2.7x−14=0
Step 3: Add 14 to both sides.
−2.7x−14+14=0+14
−2.7x=14
Step 4: Divide both sides by -2.7.
−2.7x
/−2.7 =
14
/−2.7
x=−5.185185 or 5.2
Answer:
x=-20
Step-by-step explanation:
Given
-6(x+7)= -4x - 2
First of all, we have to solve brackets
So,
-6x-42=-4x-2
To find the solution of this equation, we have to isolate x on one side of the equation.
Adding 4x on both sides
-6x-42+4x = -2-4x+4x
-2x-42 = -2
Adding 42 on both sides
-2x-42+42 = -2+42
-2x=40
Dividing both sides by -2
-2x/2 = 40/-2
x = -20
The equation has only one solution which is x=-20 ..
Answer:
3
Step-by-step explanation:
