The Least Number of Tires Needed to Support a Yacht on a Trailer
About the Yacht
The yacht shown below has a mass of 8300kg. For land transportation, the yacht is secured on a trailer. Each tyre on the trailer can support up to a maximum of 7000N.
Calculating the Number of Tires Needed
To determine the least number of tires required to support the weight of the yacht adequately, we need to make sure the total weight of the yacht is evenly distributed among the tires on the trailer.
Final answer:
The least number of tires the trailer should have to support the yacht adequately is 12 tires.
Explanation:
To support the yacht adequately, we need to ensure that the total weight of the yacht is evenly distributed among the tires on the trailer. Since each tire can support up to a maximum of 7000N, we need to determine how many tires are required to support the weight of the yacht.
Let's calculate the weight of the yacht by using the formula: weight = mass x acceleration due to gravity.
Weight = 8300 kg x 9.8 m/s^2 = 81340 N
To determine the least number of tires required to support this weight, we divide the weight by the maximum weight each tire can support: 81340 N / 7000 N = 11.62
Since we can't have partial tires, we round up to the nearest whole number. Therefore, the least number of tires the trailer should have to support the yacht adequately is 12 tires.
The yacht shown below has a mass of 8300kg. For land transportation, the yacht is secured on a trailer. Each tyre on the trailer can support upto a maximum of 7000N. What is the least number of tyres the trailer should have to support the yacht adequately? The least number of tires the trailer should have to support the yacht adequately is 12 tires.