An old wheat-grinding wheel in a museum actually works. The sign on the wall says that the wheel has a rotational acceleration of 180 rad/s 2 as its spinning rotational speed increases from zero to 1700 rpm. How long does it take the wheel to attain this rotational speed?

It will take 0.989 second to attain this speed

Step-by-step explanation:

In this question, we want to calculate the time it will take for the wheel of the machine to attain the given rotational speed

We proceed as follows;

From the question, we can identify the following parameters

Rotational acceleration of the wheel is, α = 180 rad/s^2

Initial spinning rotational speed of the wheel is, ω= 0 rpm

1 rpm = (1/60) revolution per second = 2π * (1/60) rad/s

Thus,

initial rotational speed ωi = 0 rad/s

Final spinning rotational speed ωf of the wheel is, = 1700 rpm =178.02 rad/s

Now, from the equations of motion (for rotational motions),

ωf = ωi + αt

where t is the time taken by the wheel to attain its final rotational speed.

178.02= 0 + 180 * t

t = 178.02/180

t = 0.989 second

hello :

70y^8 + 30y^6 = 2 ( 35 y^8 + 15y^6)

the lenght is : 35 y^8

the width is : 15y^6

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950