A point on a wheel moves at 32π/9 radians per minute. How many seconds are required for the point to complete 7 revolutions?

The number of seconds required to complete 7 revolutions is 236.28 s.

Step-by-step explanation:

Given;

speed of the point on the wheel, ω = 32π/9 rad/min

number of revolutions made by the point, θ = 7 rev

The time taken for the point to make 7 revolutions is calculated as follows;

1 rev = 2π rad

Therefor, the number of seconds required to complete 7 revolutions is 236.28 s.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.