Calculating Earth's Rotation Angle
The Earth completes a full rotation of 360 degrees in 24 hours.
Rotation Rate Calculation
First, determine the rate at which the Earth rotates in degrees per hour:
Rotation Rate = $\frac{360^\circ}{24 \text{ h}}$ = $15^\circ/\text{h}$
Time Conversion
Convert the given time duration into hours:
Time = 5 hours and 24 minutes
Convert minutes to hours: 24 minutes = $\frac{24}{60}$ h = 0.4 h
Total time in hours = 5 h + 0.4 h = 5.4 h
Angle Calculation
Calculate the angle the Earth turns through in 5.4 hours:
Angle = Rotation Rate × Total Time
Angle = $15^\circ/\text{h} \times 5.4 \text{ h}$
Angle = $81^\circ$
Therefore, the Earth will turn through an angle of 81 degrees in 5 hours and 24 minutes.
Similar Questions
- A man driving a car at a speed of 79 km/hr crosses a bridge in 3.6 minutes. Find the length of the bridge.
- Rohan can travel from Delhi to Kanyakumari in 30 h. If he reduces his speed by $\frac{1}{15}$th, he goes 10 km less in the same time. Find the speed.
- How many poles will be covered by a train in 4 hours if the train is running at a speed of 45 km/hr, given that the poles on the railway track are 50 m apart and the train crosses a pole at the beginning of its journey.
- The speeds of three trains are in the ratio of 2 : 3 : 5. The amount of time taken by these trains to travel the same distance is in the ratio of:
- Two persons A and B start a journey from the same point at the speeds of 3 km/h and 4 km/h respectively. If they move in the same direction, then what will be the distance between them after 6 h?
- Train A leaves station M at 6:25 AM and reaches station N at 3:25 PM on the same day. Train B leaves station N at 8:25 AM and reaches station M at 2:25 PM on the same day. Find the time when trains A and B meet.
- If a train runs at an average speed of 42 km/h, then it covers a certain distance in 45 min. What is the speed at which the train must run to reduce the time of the same journey to 35 min?
- The speeds of three cars are in the ratio of 2 : 3 : 4. The ratio of respective time taken by these cars to travel the same distance is:
- Two women walk from a place at the speeds of 6 km/h and 8 km/h respectively. First woman takes 40 min more than the second one to cover the distance. Find the distance.
- A horse is running at a speed of 40 km/h and it covers its distance in 3 h. If it has to cover that distance in $2\frac{1}{2}$ h, at what speed should it run?
Important Questions from Speed Time and Distance
A train travelling at a speed of 72 km/hr crosses a post in 20 seconds. If it crosses another train travelling at a speed of 54 km/hr in the same direction in 1 minute 45 seconds, then the difference in length between the two trains is
Rajiv's boat can travel along the current at the 8 km/hour and against the current at the rate 6 km/hour. Find the time taken by the boat to sail 28 km in still water.
Rohit and Dinesh are 64 km apart. Rohit can walk at a speed of 15 km/hr and Dinesh at the speed of 17 km/hr. In how many hours will they meet if they are travelling towards each other?
Two trains running in opposite directions cross a man standing on the platform in 25 seconds and 32 seconds respectively and they cross each other in 30 seconds. The ratio of their speed is:
A worker covers a distance of 81 km in 11 hours. He travels partly on foot at 4.5 km/h and partly on bicycle at 15 km/h. What is the distance covered on the cycle?
