Answer:
The polar coordinate of is .
Explanation:
Given a point in rectangular form, that is , its polar form is defined by:
(1)
Where:
- Norm, measured in meters.
- Direction, measured in sexagesimal degrees.
The norm of the point is determined by Pythagorean Theorem:
(2)
And direction is calculated by following trigonometric relation:
(3)
If we know that and , then the components of coordinates in polar form is:
Since and , direction is located at 3rd Quadrant. Given that tangent function has a period of 180º, we find direction by using this formula:
The polar coordinate of is .
Answer:
Explanation:
On Earth the atmospheric presure is . This will be the pressure inside the lander. Outside, the pressure on Mars will be . This means that the net force will be outward (since inside the pressure is higher) and, since the area of the hatch is , of value:
Since 1lb in weight is equal to 4.45N, we can write:
Answer:
Explanation:
v = ω R
v is linear speed and ω is angular speed
ω = v / R
a ) Inner radius = 25 x 10⁻³ m
speed v = 1.25 m/s
ω = 1.25 / (25 x 10⁻³ )
= .05 x 10⁻³
= 5 x 10⁻⁵ rad / s
outer radius = 58 x 10⁻³ m
speed v = 1.25 m/s
ω = 1.25 / (58 x 10⁻³ )
= .0215 x 10⁻³
= 2.15 x 10⁻⁵ rad / s
b )
linear constant speed v = 1.25 m /s
time = 74 min = 74 x 60 s
distance tracked = speed x time
= 1.25 x 74 x 60
= 5550 m
c ) time given
= 74 min = 74 x 60 s
angular acceleration
= ( 2.15 - 5 ) x 10⁻⁵ / (74 x 60 )
= - 6.42 x 10⁻⁹ rad / s²
Answer:
w =3416 rad/min
Explanation:
The angular speed of the wheels in radians can be defined as follows:
where
w = angular speed
r = radius of the wheel
s =distance traveled per minute
in this case we have
r = 34/2 inches = 17 inches
s = (55 mi/hr) (5280 ft/mi) (12 in/ft) (1hr/60min) = 58,080 inches/min
Therefore, w = 58,080/ 17 = 3416 rad/min
Answer:
I think the answer would be antigens
Explanation: