Final answer:
On a Ferris wheel that completes 1 full revolution in 4 minutes, the number of minutes spent higher than 45 meters above the ground is 4 minutes.
Step-by-step explanation:
To calculate the number of minutes spent higher than 45 meters above the ground on a Ferris wheel, we need to find the angle through which the wheel turns in that time period. The circumference of the wheel is given by C = πd, where d is the diameter. So, the distance covered by the wheel in 1 revolution is 45π meters. Since the wheel completes 1 revolution in 4 minutes, the angular velocity (ω) can be calculated as ω = 2π / T, where T is the time for 1 revolution. Substituting T = 4 minutes, we find ω = π / 2 rad/min. Now, to find the number of minutes spent higher than 45 meters, we need to calculate the angle (θ) in radians. θ can be calculated as θ = ω × t, where t is the time spent higher than 45 meters. Substituting ω = π / 2 and θ = 2π (since 1 revolution is 2π radians), we can solve for t as t = θ / ω. Therefore, t = (2π) / (π / 2) = 4 minutes.